# Sequence Series

Marc first writes the perfect squares as a sequence

1,4,9,16,25,36,49,64,81,100...

After the number 1, he then alternates by making two terms negative followed
by leaving two terms negative.Marc's new sequence is:

1,-4,-9,16,25,-36,-49,64,81,-100...

What is the sum of the first 2011 terms in this new sequence?

 May 18, 2011 Sequence Series by: Staff --------------------------------footnote (1) - Part XVIII1961, , 3845521, 38474811962, , -3849444, -19631963, , -3853369, -38553321964, , 3857296, 19641965, , 3861225, 38631891966, , -3865156, -19671967, , -3869089, -38710561968, , 3873024, 19681969, , 3876961, 38789291970, , -3880900, -19711971, , -3884841, -38868121972, , 3888784, 19721973, , 3892729, 38947011974, , -3896676, -19751975, , -3900625, -39026001976, , 3904576, 19761977, , 3908529, 39105051978, , -3912484, -19791979, , -3916441, -39184201980, , 3920400, 19801981, , 3924361, 39263411982, , -3928324, -19831983, , -3932289, -39342721984, , 3936256, 19841985, , 3940225, 39422091986, , -3944196, -19871987, , -3948169, -39501561988, , 3952144, 19881989, , 3956121, 39581091990, , -3960100, -19911991, , -3964081, -39660721992, , 3968064, 19921993, , 3972049, 39740411994, , -3976036, -19951995, , -3980025, -39820201996, , 3984016, 19961997, , 3988009, 39900051998, , -3992004, -19991999, , -3996001, -39980002000, , 4000000, 20002001, , 4004001, 40060012002, , -4008004, -20032003, , -4012009, -40140122004, , 4016016, 20042005, , 4020025, 40220292006, , -4024036, -20072007, , -4028049, -40300562008, , 4032064, 20082009, , 4036081, 40380892010, , -4040100, -20112011, , -4044121, -40461322012, , 4048144, 20122013, , 4052169, 40541812014, , -4056196, -20152015, , -4060225, -40622402016, , 4064256, 20162017, , 4068289, 40703052018, , -4072324, -20192019, , -4076361, -40783802020, , 4080400, 20202021, , 4084441, 40864612022, , -4088484, -20232023, , -4092529, -40945522024, , 4096576, 20242025, , 4100625, 41026492026, , -4104676, -20272027, , -4108729, -41107562028, , 4112784, 20282029, , 4116841, 41188692030, , -4120900, -20312031, , -4124961, -41269922032, , 4129024, 20322033, , 4133089, 41351212034, , -4137156, -20352035, , -4141225, -41432602036, , 4145296, 20362037, , 4149369, 41514052038, , -4153444, -20392039, , -4157521, -41595602040, , 4161600, 20402041, , 4165681, 41677212042, , -4169764, -20432043, , -4173849, -41758922044, , 4177936, 20442045, , 4182025, 41840692046, , -4186116, -20472047, , -4190209, -41922562048, , 4194304, 20482049, , 4198401, 42004492050, , -4202500, -20512051, , -4206601, -4208652

 May 18, 2011 Sequence Series by: Staff --------------------------------footnote (1) - Part XVII1861, , 3463321, 34651811862, , -3467044, -18631863, , -3470769, -34726321864, , 3474496, 18641865, , 3478225, 34800891866, , -3481956, -18671867, , -3485689, -34875561868, , 3489424, 18681869, , 3493161, 34950291870, , -3496900, -18711871, , -3500641, -35025121872, , 3504384, 18721873, , 3508129, 35100011874, , -3511876, -18751875, , -3515625, -35175001876, , 3519376, 18761877, , 3523129, 35250051878, , -3526884, -18791879, , -3530641, -35325201880, , 3534400, 18801881, , 3538161, 35400411882, , -3541924, -18831883, , -3545689, -35475721884, , 3549456, 18841885, , 3553225, 35551091886, , -3556996, -18871887, , -3560769, -35626561888, , 3564544, 18881889, , 3568321, 35702091890, , -3572100, -18911891, , -3575881, -35777721892, , 3579664, 18921893, , 3583449, 35853411894, , -3587236, -18951895, , -3591025, -35929201896, , 3594816, 18961897, , 3598609, 36005051898, , -3602404, -18991899, , -3606201, -36081001900, , 3610000, 19001901, , 3613801, 36157011902, , -3617604, -19031903, , -3621409, -36233121904, , 3625216, 19041905, , 3629025, 36309291906, , -3632836, -19071907, , -3636649, -36385561908, , 3640464, 19081909, , 3644281, 36461891910, , -3648100, -19111911, , -3651921, -36538321912, , 3655744, 19121913, , 3659569, 36614811914, , -3663396, -19151915, , -3667225, -36691401916, , 3671056, 19161917, , 3674889, 36768051918, , -3678724, -19191919, , -3682561, -36844801920, , 3686400, 19201921, , 3690241, 36921611922, , -3694084, -19231923, , -3697929, -36998521924, , 3701776, 19241925, , 3705625, 37075491926, , -3709476, -19271927, , -3713329, -37152561928, , 3717184, 19281929, , 3721041, 37229691930, , -3724900, -19311931, , -3728761, -37306921932, , 3732624, 19321933, , 3736489, 37384211934, , -3740356, -19351935, , -3744225, -37461601936, , 3748096, 19361937, , 3751969, 37539051938, , -3755844, -19391939, , -3759721, -37616601940, , 3763600, 19401941, , 3767481, 37694211942, , -3771364, -19431943, , -3775249, -37771921944, , 3779136, 19441945, , 3783025, 37849691946, , -3786916, -19471947, , -3790809, -37927561948, , 3794704, 19481949, , 3798601, 38005491950, , -3802500, -19511951, , -3806401, -38083521952, , 3810304, 19521953, , 3814209, 38161611954, , -3818116, -19551955, , -3822025, -38239801956, , 3825936, 19561957, , 3829849, 38318051958, , -3833764, -19591959, , -3837681, -38396401960, , 3841600, 1960--------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part XVI 1751, , -3066001, -3067752 1752, , 3069504, 1752 1753, , 3073009, 3074761 1754, , -3076516, -1755 1755, , -3080025, -3081780 1756, , 3083536, 1756 1757, , 3087049, 3088805 1758, , -3090564, -1759 1759, , -3094081, -3095840 1760, , 3097600, 1760 1761, , 3101121, 3102881 1762, , -3104644, -1763 1763, , -3108169, -3109932 1764, , 3111696, 1764 1765, , 3115225, 3116989 1766, , -3118756, -1767 1767, , -3122289, -3124056 1768, , 3125824, 1768 1769, , 3129361, 3131129 1770, , -3132900, -1771 1771, , -3136441, -3138212 1772, , 3139984, 1772 1773, , 3143529, 3145301 1774, , -3147076, -1775 1775, , -3150625, -3152400 1776, , 3154176, 1776 1777, , 3157729, 3159505 1778, , -3161284, -1779 1779, , -3164841, -3166620 1780, , 3168400, 1780 1781, , 3171961, 3173741 1782, , -3175524, -1783 1783, , -3179089, -3180872 1784, , 3182656, 1784 1785, , 3186225, 3188009 1786, , -3189796, -1787 1787, , -3193369, -3195156 1788, , 3196944, 1788 1789, , 3200521, 3202309 1790, , -3204100, -1791 1791, , -3207681, -3209472 1792, , 3211264, 1792 1793, , 3214849, 3216641 1794, , -3218436, -1795 1795, , -3222025, -3223820 1796, , 3225616, 1796 1797, , 3229209, 3231005 1798, , -3232804, -1799 1799, , -3236401, -3238200 1800, , 3240000, 1800 1801, , 3243601, 3245401 1802, , -3247204, -1803 1803, , -3250809, -3252612 1804, , 3254416, 1804 1805, , 3258025, 3259829 1806, , -3261636, -1807 1807, , -3265249, -3267056 1808, , 3268864, 1808 1809, , 3272481, 3274289 1810, , -3276100, -1811 1811, , -3279721, -3281532 1812, , 3283344, 1812 1813, , 3286969, 3288781 1814, , -3290596, -1815 1815, , -3294225, -3296040 1816, , 3297856, 1816 1817, , 3301489, 3303305 1818, , -3305124, -1819 1819, , -3308761, -3310580 1820, , 3312400, 1820 1821, , 3316041, 3317861 1822, , -3319684, -1823 1823, , -3323329, -3325152 1824, , 3326976, 1824 1825, , 3330625, 3332449 1826, , -3334276, -1827 1827, , -3337929, -3339756 1828, , 3341584, 1828 1829, , 3345241, 3347069 1830, , -3348900, -1831 1831, , -3352561, -3354392 1832, , 3356224, 1832 1833, , 3359889, 3361721 1834, , -3363556, -1835 1835, , -3367225, -3369060 1836, , 3370896, 1836 1837, , 3374569, 3376405 1838, , -3378244, -1839 1839, , -3381921, -3383760 1840, , 3385600, 1840 1841, , 3389281, 3391121 1842, , -3392964, -1843 1843, , -3396649, -3398492 1844, , 3400336, 1844 1845, , 3404025, 3405869 1846, , -3407716, -1847 1847, , -3411409, -3413256 1848, , 3415104, 1848 1849, , 3418801, 3420649 1850, , -3422500, -1851 1851, , -3426201, -3428052 1852, , 3429904, 1852 1853, , 3433609, 3435461 1854, , -3437316, -1855 1855, , -3441025, -3442880 1856, , 3444736, 1856 1857, , 3448449, 3450305 1858, , -3452164, -1859 1859, , -3455881, -3457740 1860, , 3459600, 1860 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part XV 1641, , 2692881, 2694521 1642, , -2696164, -1643 1643, , -2699449, -2701092 1644, , 2702736, 1644 1645, , 2706025, 2707669 1646, , -2709316, -1647 1647, , -2712609, -2714256 1648, , 2715904, 1648 1649, , 2719201, 2720849 1650, , -2722500, -1651 1651, , -2725801, -2727452 1652, , 2729104, 1652 1653, , 2732409, 2734061 1654, , -2735716, -1655 1655, , -2739025, -2740680 1656, , 2742336, 1656 1657, , 2745649, 2747305 1658, , -2748964, -1659 1659, , -2752281, -2753940 1660, , 2755600, 1660 1661, , 2758921, 2760581 1662, , -2762244, -1663 1663, , -2765569, -2767232 1664, , 2768896, 1664 1665, , 2772225, 2773889 1666, , -2775556, -1667 1667, , -2778889, -2780556 1668, , 2782224, 1668 1669, , 2785561, 2787229 1670, , -2788900, -1671 1671, , -2792241, -2793912 1672, , 2795584, 1672 1673, , 2798929, 2800601 1674, , -2802276, -1675 1675, , -2805625, -2807300 1676, , 2808976, 1676 1677, , 2812329, 2814005 1678, , -2815684, -1679 1679, , -2819041, -2820720 1680, , 2822400, 1680 1681, , 2825761, 2827441 1682, , -2829124, -1683 1683, , -2832489, -2834172 1684, , 2835856, 1684 1685, , 2839225, 2840909 1686, , -2842596, -1687 1687, , -2845969, -2847656 1688, , 2849344, 1688 1689, , 2852721, 2854409 1690, , -2856100, -1691 1691, , -2859481, -2861172 1692, , 2862864, 1692 1693, , 2866249, 2867941 1694, , -2869636, -1695 1695, , -2873025, -2874720 1696, , 2876416, 1696 1697, , 2879809, 2881505 1698, , -2883204, -1699 1699, , -2886601, -2888300 1700, , 2890000, 1700 1701, , 2893401, 2895101 1702, , -2896804, -1703 1703, , -2900209, -2901912 1704, , 2903616, 1704 1705, , 2907025, 2908729 1706, , -2910436, -1707 1707, , -2913849, -2915556 1708, , 2917264, 1708 1709, , 2920681, 2922389 1710, , -2924100, -1711 1711, , -2927521, -2929232 1712, , 2930944, 1712 1713, , 2934369, 2936081 1714, , -2937796, -1715 1715, , -2941225, -2942940 1716, , 2944656, 1716 1717, , 2948089, 2949805 1718, , -2951524, -1719 1719, , -2954961, -2956680 1720, , 2958400, 1720 1721, , 2961841, 2963561 1722, , -2965284, -1723 1723, , -2968729, -2970452 1724, , 2972176, 1724 1725, , 2975625, 2977349 1726, , -2979076, -1727 1727, , -2982529, -2984256 1728, , 2985984, 1728 1729, , 2989441, 2991169 1730, , -2992900, -1731 1731, , -2996361, -2998092 1732, , 2999824, 1732 1733, , 3003289, 3005021 1734, , -3006756, -1735 1735, , -3010225, -3011960 1736, , 3013696, 1736 1737, , 3017169, 3018905 1738, , -3020644, -1739 1739, , -3024121, -3025860 1740, , 3027600, 1740 1741, , 3031081, 3032821 1742, , -3034564, -1743 1743, , -3038049, -3039792 1744, , 3041536, 1744 1745, , 3045025, 3046769 1746, , -3048516, -1747 1747, , -3052009, -3053756 1748, , 3055504, 1748 1749, , 3059001, 3060749 1750, , -3062500, -1751 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part XIV 1531, , -2343961, -2345492 1532, , 2347024, 1532 1533, , 2350089, 2351621 1534, , -2353156, -1535 1535, , -2356225, -2357760 1536, , 2359296, 1536 1537, , 2362369, 2363905 1538, , -2365444, -1539 1539, , -2368521, -2370060 1540, , 2371600, 1540 1541, , 2374681, 2376221 1542, , -2377764, -1543 1543, , -2380849, -2382392 1544, , 2383936, 1544 1545, , 2387025, 2388569 1546, , -2390116, -1547 1547, , -2393209, -2394756 1548, , 2396304, 1548 1549, , 2399401, 2400949 1550, , -2402500, -1551 1551, , -2405601, -2407152 1552, , 2408704, 1552 1553, , 2411809, 2413361 1554, , -2414916, -1555 1555, , -2418025, -2419580 1556, , 2421136, 1556 1557, , 2424249, 2425805 1558, , -2427364, -1559 1559, , -2430481, -2432040 1560, , 2433600, 1560 1561, , 2436721, 2438281 1562, , -2439844, -1563 1563, , -2442969, -2444532 1564, , 2446096, 1564 1565, , 2449225, 2450789 1566, , -2452356, -1567 1567, , -2455489, -2457056 1568, , 2458624, 1568 1569, , 2461761, 2463329 1570, , -2464900, -1571 1571, , -2468041, -2469612 1572, , 2471184, 1572 1573, , 2474329, 2475901 1574, , -2477476, -1575 1575, , -2480625, -2482200 1576, , 2483776, 1576 1577, , 2486929, 2488505 1578, , -2490084, -1579 1579, , -2493241, -2494820 1580, , 2496400, 1580 1581, , 2499561, 2501141 1582, , -2502724, -1583 1583, , -2505889, -2507472 1584, , 2509056, 1584 1585, , 2512225, 2513809 1586, , -2515396, -1587 1587, , -2518569, -2520156 1588, , 2521744, 1588 1589, , 2524921, 2526509 1590, , -2528100, -1591 1591, , -2531281, -2532872 1592, , 2534464, 1592 1593, , 2537649, 2539241 1594, , -2540836, -1595 1595, , -2544025, -2545620 1596, , 2547216, 1596 1597, , 2550409, 2552005 1598, , -2553604, -1599 1599, , -2556801, -2558400 1600, , 2560000, 1600 1601, , 2563201, 2564801 1602, , -2566404, -1603 1603, , -2569609, -2571212 1604, , 2572816, 1604 1605, , 2576025, 2577629 1606, , -2579236, -1607 1607, , -2582449, -2584056 1608, , 2585664, 1608 1609, , 2588881, 2590489 1610, , -2592100, -1611 1611, , -2595321, -2596932 1612, , 2598544, 1612 1613, , 2601769, 2603381 1614, , -2604996, -1615 1615, , -2608225, -2609840 1616, , 2611456, 1616 1617, , 2614689, 2616305 1618, , -2617924, -1619 1619, , -2621161, -2622780 1620, , 2624400, 1620 1621, , 2627641, 2629261 1622, , -2630884, -1623 1623, , -2634129, -2635752 1624, , 2637376, 1624 1625, , 2640625, 2642249 1626, , -2643876, -1627 1627, , -2647129, -2648756 1628, , 2650384, 1628 1629, , 2653641, 2655269 1630, , -2656900, -1631 1631, , -2660161, -2661792 1632, , 2663424, 1632 1633, , 2666689, 2668321 1634, , -2669956, -1635 1635, , -2673225, -2674860 1636, , 2676496, 1636 1637, , 2679769, 2681405 1638, , -2683044, -1639 1639, , -2686321, -2687960 1640, , 2689600, 1640 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part XIII 1421, , 2019241, 2020661 1422, , -2022084, -1423 1423, , -2024929, -2026352 1424, , 2027776, 1424 1425, , 2030625, 2032049 1426, , -2033476, -1427 1427, , -2036329, -2037756 1428, , 2039184, 1428 1429, , 2042041, 2043469 1430, , -2044900, -1431 1431, , -2047761, -2049192 1432, , 2050624, 1432 1433, , 2053489, 2054921 1434, , -2056356, -1435 1435, , -2059225, -2060660 1436, , 2062096, 1436 1437, , 2064969, 2066405 1438, , -2067844, -1439 1439, , -2070721, -2072160 1440, , 2073600, 1440 1441, , 2076481, 2077921 1442, , -2079364, -1443 1443, , -2082249, -2083692 1444, , 2085136, 1444 1445, , 2088025, 2089469 1446, , -2090916, -1447 1447, , -2093809, -2095256 1448, , 2096704, 1448 1449, , 2099601, 2101049 1450, , -2102500, -1451 1451, , -2105401, -2106852 1452, , 2108304, 1452 1453, , 2111209, 2112661 1454, , -2114116, -1455 1455, , -2117025, -2118480 1456, , 2119936, 1456 1457, , 2122849, 2124305 1458, , -2125764, -1459 1459, , -2128681, -2130140 1460, , 2131600, 1460 1461, , 2134521, 2135981 1462, , -2137444, -1463 1463, , -2140369, -2141832 1464, , 2143296, 1464 1465, , 2146225, 2147689 1466, , -2149156, -1467 1467, , -2152089, -2153556 1468, , 2155024, 1468 1469, , 2157961, 2159429 1470, , -2160900, -1471 1471, , -2163841, -2165312 1472, , 2166784, 1472 1473, , 2169729, 2171201 1474, , -2172676, -1475 1475, , -2175625, -2177100 1476, , 2178576, 1476 1477, , 2181529, 2183005 1478, , -2184484, -1479 1479, , -2187441, -2188920 1480, , 2190400, 1480 1481, , 2193361, 2194841 1482, , -2196324, -1483 1483, , -2199289, -2200772 1484, , 2202256, 1484 1485, , 2205225, 2206709 1486, , -2208196, -1487 1487, , -2211169, -2212656 1488, , 2214144, 1488 1489, , 2217121, 2218609 1490, , -2220100, -1491 1491, , -2223081, -2224572 1492, , 2226064, 1492 1493, , 2229049, 2230541 1494, , -2232036, -1495 1495, , -2235025, -2236520 1496, , 2238016, 1496 1497, , 2241009, 2242505 1498, , -2244004, -1499 1499, , -2247001, -2248500 1500, , 2250000, 1500 1501, , 2253001, 2254501 1502, , -2256004, -1503 1503, , -2259009, -2260512 1504, , 2262016, 1504 1505, , 2265025, 2266529 1506, , -2268036, -1507 1507, , -2271049, -2272556 1508, , 2274064, 1508 1509, , 2277081, 2278589 1510, , -2280100, -1511 1511, , -2283121, -2284632 1512, , 2286144, 1512 1513, , 2289169, 2290681 1514, , -2292196, -1515 1515, , -2295225, -2296740 1516, , 2298256, 1516 1517, , 2301289, 2302805 1518, , -2304324, -1519 1519, , -2307361, -2308880 1520, , 2310400, 1520 1521, , 2313441, 2314961 1522, , -2316484, -1523 1523, , -2319529, -2321052 1524, , 2322576, 1524 1525, , 2325625, 2327149 1526, , -2328676, -1527 1527, , -2331729, -2333256 1528, , 2334784, 1528 1529, , 2337841, 2339369 1530, , -2340900, -1531 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part XII 1311, , -1718721, -1720032 1312, , 1721344, 1312 1313, , 1723969, 1725281 1314, , -1726596, -1315 1315, , -1729225, -1730540 1316, , 1731856, 1316 1317, , 1734489, 1735805 1318, , -1737124, -1319 1319, , -1739761, -1741080 1320, , 1742400, 1320 1321, , 1745041, 1746361 1322, , -1747684, -1323 1323, , -1750329, -1751652 1324, , 1752976, 1324 1325, , 1755625, 1756949 1326, , -1758276, -1327 1327, , -1760929, -1762256 1328, , 1763584, 1328 1329, , 1766241, 1767569 1330, , -1768900, -1331 1331, , -1771561, -1772892 1332, , 1774224, 1332 1333, , 1776889, 1778221 1334, , -1779556, -1335 1335, , -1782225, -1783560 1336, , 1784896, 1336 1337, , 1787569, 1788905 1338, , -1790244, -1339 1339, , -1792921, -1794260 1340, , 1795600, 1340 1341, , 1798281, 1799621 1342, , -1800964, -1343 1343, , -1803649, -1804992 1344, , 1806336, 1344 1345, , 1809025, 1810369 1346, , -1811716, -1347 1347, , -1814409, -1815756 1348, , 1817104, 1348 1349, , 1819801, 1821149 1350, , -1822500, -1351 1351, , -1825201, -1826552 1352, , 1827904, 1352 1353, , 1830609, 1831961 1354, , -1833316, -1355 1355, , -1836025, -1837380 1356, , 1838736, 1356 1357, , 1841449, 1842805 1358, , -1844164, -1359 1359, , -1846881, -1848240 1360, , 1849600, 1360 1361, , 1852321, 1853681 1362, , -1855044, -1363 1363, , -1857769, -1859132 1364, , 1860496, 1364 1365, , 1863225, 1864589 1366, , -1865956, -1367 1367, , -1868689, -1870056 1368, , 1871424, 1368 1369, , 1874161, 1875529 1370, , -1876900, -1371 1371, , -1879641, -1881012 1372, , 1882384, 1372 1373, , 1885129, 1886501 1374, , -1887876, -1375 1375, , -1890625, -1892000 1376, , 1893376, 1376 1377, , 1896129, 1897505 1378, , -1898884, -1379 1379, , -1901641, -1903020 1380, , 1904400, 1380 1381, , 1907161, 1908541 1382, , -1909924, -1383 1383, , -1912689, -1914072 1384, , 1915456, 1384 1385, , 1918225, 1919609 1386, , -1920996, -1387 1387, , -1923769, -1925156 1388, , 1926544, 1388 1389, , 1929321, 1930709 1390, , -1932100, -1391 1391, , -1934881, -1936272 1392, , 1937664, 1392 1393, , 1940449, 1941841 1394, , -1943236, -1395 1395, , -1946025, -1947420 1396, , 1948816, 1396 1397, , 1951609, 1953005 1398, , -1954404, -1399 1399, , -1957201, -1958600 1400, , 1960000, 1400 1401, , 1962801, 1964201 1402, , -1965604, -1403 1403, , -1968409, -1969812 1404, , 1971216, 1404 1405, , 1974025, 1975429 1406, , -1976836, -1407 1407, , -1979649, -1981056 1408, , 1982464, 1408 1409, , 1985281, 1986689 1410, , -1988100, -1411 1411, , -1990921, -1992332 1412, , 1993744, 1412 1413, , 1996569, 1997981 1414, , -1999396, -1415 1415, , -2002225, -2003640 1416, , 2005056, 1416 1417, , 2007889, 2009305 1418, , -2010724, -1419 1419, , -2013561, -2014980 1420, , 2016400, 1420 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part XI 1201, , 1442401, 1443601 1202, , -1444804, -1203 1203, , -1447209, -1448412 1204, , 1449616, 1204 1205, , 1452025, 1453229 1206, , -1454436, -1207 1207, , -1456849, -1458056 1208, , 1459264, 1208 1209, , 1461681, 1462889 1210, , -1464100, -1211 1211, , -1466521, -1467732 1212, , 1468944, 1212 1213, , 1471369, 1472581 1214, , -1473796, -1215 1215, , -1476225, -1477440 1216, , 1478656, 1216 1217, , 1481089, 1482305 1218, , -1483524, -1219 1219, , -1485961, -1487180 1220, , 1488400, 1220 1221, , 1490841, 1492061 1222, , -1493284, -1223 1223, , -1495729, -1496952 1224, , 1498176, 1224 1225, , 1500625, 1501849 1226, , -1503076, -1227 1227, , -1505529, -1506756 1228, , 1507984, 1228 1229, , 1510441, 1511669 1230, , -1512900, -1231 1231, , -1515361, -1516592 1232, , 1517824, 1232 1233, , 1520289, 1521521 1234, , -1522756, -1235 1235, , -1525225, -1526460 1236, , 1527696, 1236 1237, , 1530169, 1531405 1238, , -1532644, -1239 1239, , -1535121, -1536360 1240, , 1537600, 1240 1241, , 1540081, 1541321 1242, , -1542564, -1243 1243, , -1545049, -1546292 1244, , 1547536, 1244 1245, , 1550025, 1551269 1246, , -1552516, -1247 1247, , -1555009, -1556256 1248, , 1557504, 1248 1249, , 1560001, 1561249 1250, , -1562500, -1251 1251, , -1565001, -1566252 1252, , 1567504, 1252 1253, , 1570009, 1571261 1254, , -1572516, -1255 1255, , -1575025, -1576280 1256, , 1577536, 1256 1257, , 1580049, 1581305 1258, , -1582564, -1259 1259, , -1585081, -1586340 1260, , 1587600, 1260 1261, , 1590121, 1591381 1262, , -1592644, -1263 1263, , -1595169, -1596432 1264, , 1597696, 1264 1265, , 1600225, 1601489 1266, , -1602756, -1267 1267, , -1605289, -1606556 1268, , 1607824, 1268 1269, , 1610361, 1611629 1270, , -1612900, -1271 1271, , -1615441, -1616712 1272, , 1617984, 1272 1273, , 1620529, 1621801 1274, , -1623076, -1275 1275, , -1625625, -1626900 1276, , 1628176, 1276 1277, , 1630729, 1632005 1278, , -1633284, -1279 1279, , -1635841, -1637120 1280, , 1638400, 1280 1281, , 1640961, 1642241 1282, , -1643524, -1283 1283, , -1646089, -1647372 1284, , 1648656, 1284 1285, , 1651225, 1652509 1286, , -1653796, -1287 1287, , -1656369, -1657656 1288, , 1658944, 1288 1289, , 1661521, 1662809 1290, , -1664100, -1291 1291, , -1666681, -1667972 1292, , 1669264, 1292 1293, , 1671849, 1673141 1294, , -1674436, -1295 1295, , -1677025, -1678320 1296, , 1679616, 1296 1297, , 1682209, 1683505 1298, , -1684804, -1299 1299, , -1687401, -1688700 1300, , 1690000, 1300 1301, , 1692601, 1693901 1302, , -1695204, -1303 1303, , -1697809, -1699112 1304, , 1700416, 1304 1305, , 1703025, 1704329 1306, , -1705636, -1307 1307, , -1708249, -1709556 1308, , 1710864, 1308 1309, , 1713481, 1714789 1310, , -1716100, -1311 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part X 1101, , 1212201, 1213301 1102, , -1214404, -1103 1103, , -1216609, -1217712 1104, , 1218816, 1104 1105, , 1221025, 1222129 1106, , -1223236, -1107 1107, , -1225449, -1226556 1108, , 1227664, 1108 1109, , 1229881, 1230989 1110, , -1232100, -1111 1111, , -1234321, -1235432 1112, , 1236544, 1112 1113, , 1238769, 1239881 1114, , -1240996, -1115 1115, , -1243225, -1244340 1116, , 1245456, 1116 1117, , 1247689, 1248805 1118, , -1249924, -1119 1119, , -1252161, -1253280 1120, , 1254400, 1120 1121, , 1256641, 1257761 1122, , -1258884, -1123 1123, , -1261129, -1262252 1124, , 1263376, 1124 1125, , 1265625, 1266749 1126, , -1267876, -1127 1127, , -1270129, -1271256 1128, , 1272384, 1128 1129, , 1274641, 1275769 1130, , -1276900, -1131 1131, , -1279161, -1280292 1132, , 1281424, 1132 1133, , 1283689, 1284821 1134, , -1285956, -1135 1135, , -1288225, -1289360 1136, , 1290496, 1136 1137, , 1292769, 1293905 1138, , -1295044, -1139 1139, , -1297321, -1298460 1140, , 1299600, 1140 1141, , 1301881, 1303021 1142, , -1304164, -1143 1143, , -1306449, -1307592 1144, , 1308736, 1144 1145, , 1311025, 1312169 1146, , -1313316, -1147 1147, , -1315609, -1316756 1148, , 1317904, 1148 1149, , 1320201, 1321349 1150, , -1322500, -1151 1151, , -1324801, -1325952 1152, , 1327104, 1152 1153, , 1329409, 1330561 1154, , -1331716, -1155 1155, , -1334025, -1335180 1156, , 1336336, 1156 1157, , 1338649, 1339805 1158, , -1340964, -1159 1159, , -1343281, -1344440 1160, , 1345600, 1160 1161, , 1347921, 1349081 1162, , -1350244, -1163 1163, , -1352569, -1353732 1164, , 1354896, 1164 1165, , 1357225, 1358389 1166, , -1359556, -1167 1167, , -1361889, -1363056 1168, , 1364224, 1168 1169, , 1366561, 1367729 1170, , -1368900, -1171 1171, , -1371241, -1372412 1172, , 1373584, 1172 1173, , 1375929, 1377101 1174, , -1378276, -1175 1175, , -1380625, -1381800 1176, , 1382976, 1176 1177, , 1385329, 1386505 1178, , -1387684, -1179 1179, , -1390041, -1391220 1180, , 1392400, 1180 1181, , 1394761, 1395941 1182, , -1397124, -1183 1183, , -1399489, -1400672 1184, , 1401856, 1184 1185, , 1404225, 1405409 1186, , -1406596, -1187 1187, , -1408969, -1410156 1188, , 1411344, 1188 1189, , 1413721, 1414909 1190, , -1416100, -1191 1191, , -1418481, -1419672 1192, , 1420864, 1192 1193, , 1423249, 1424441 1194, , -1425636, -1195 1195, , -1428025, -1429220 1196, , 1430416, 1196 1197, , 1432809, 1434005 1198, , -1435204, -1199 1199, , -1437601, -1438800 1200, , 1440000, 1200 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part IX 1001, , 1002001, 1003001 1002, , -1004004, -1003 1003, , -1006009, -1007012 1004, , 1008016, 1004 1005, , 1010025, 1011029 1006, , -1012036, -1007 1007, , -1014049, -1015056 1008, , 1016064, 1008 1009, , 1018081, 1019089 1010, , -1020100, -1011 1011, , -1022121, -1023132 1012, , 1024144, 1012 1013, , 1026169, 1027181 1014, , -1028196, -1015 1015, , -1030225, -1031240 1016, , 1032256, 1016 1017, , 1034289, 1035305 1018, , -1036324, -1019 1019, , -1038361, -1039380 1020, , 1040400, 1020 1021, , 1042441, 1043461 1022, , -1044484, -1023 1023, , -1046529, -1047552 1024, , 1048576, 1024 1025, , 1050625, 1051649 1026, , -1052676, -1027 1027, , -1054729, -1055756 1028, , 1056784, 1028 1029, , 1058841, 1059869 1030, , -1060900, -1031 1031, , -1062961, -1063992 1032, , 1065024, 1032 1033, , 1067089, 1068121 1034, , -1069156, -1035 1035, , -1071225, -1072260 1036, , 1073296, 1036 1037, , 1075369, 1076405 1038, , -1077444, -1039 1039, , -1079521, -1080560 1040, , 1081600, 1040 1041, , 1083681, 1084721 1042, , -1085764, -1043 1043, , -1087849, -1088892 1044, , 1089936, 1044 1045, , 1092025, 1093069 1046, , -1094116, -1047 1047, , -1096209, -1097256 1048, , 1098304, 1048 1049, , 1100401, 1101449 1050, , -1102500, -1051 1051, , -1104601, -1105652 1052, , 1106704, 1052 1053, , 1108809, 1109861 1054, , -1110916, -1055 1055, , -1113025, -1114080 1056, , 1115136, 1056 1057, , 1117249, 1118305 1058, , -1119364, -1059 1059, , -1121481, -1122540 1060, , 1123600, 1060 1061, , 1125721, 1126781 1062, , -1127844, -1063 1063, , -1129969, -1131032 1064, , 1132096, 1064 1065, , 1134225, 1135289 1066, , -1136356, -1067 1067, , -1138489, -1139556 1068, , 1140624, 1068 1069, , 1142761, 1143829 1070, , -1144900, -1071 1071, , -1147041, -1148112 1072, , 1149184, 1072 1073, , 1151329, 1152401 1074, , -1153476, -1075 1075, , -1155625, -1156700 1076, , 1157776, 1076 1077, , 1159929, 1161005 1078, , -1162084, -1079 1079, , -1164241, -1165320 1080, , 1166400, 1080 1081, , 1168561, 1169641 1082, , -1170724, -1083 1083, , -1172889, -1173972 1084, , 1175056, 1084 1085, , 1177225, 1178309 1086, , -1179396, -1087 1087, , -1181569, -1182656 1088, , 1183744, 1088 1089, , 1185921, 1187009 1090, , -1188100, -1091 1091, , -1190281, -1191372 1092, , 1192464, 1092 1093, , 1194649, 1195741 1094, , -1196836, -1095 1095, , -1199025, -1200120 1096, , 1201216, 1096 1097, , 1203409, 1204505 1098, , -1205604, -1099 1099, , -1207801, -1208900 1100, , 1210000, 1100 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part VIII 881, , 776161, 777041 882, , -777924, -883 883, , -779689, -780572 884, , 781456, 884 885, , 783225, 784109 886, , -784996, -887 887, , -786769, -787656 888, , 788544, 888 889, , 790321, 791209 890, , -792100, -891 891, , -793881, -794772 892, , 795664, 892 893, , 797449, 798341 894, , -799236, -895 895, , -801025, -801920 896, , 802816, 896 897, , 804609, 805505 898, , -806404, -899 899, , -808201, -809100 900, , 810000, 900 901, , 811801, 812701 902, , -813604, -903 903, , -815409, -816312 904, , 817216, 904 905, , 819025, 819929 906, , -820836, -907 907, , -822649, -823556 908, , 824464, 908 909, , 826281, 827189 910, , -828100, -911 911, , -829921, -830832 912, , 831744, 912 913, , 833569, 834481 914, , -835396, -915 915, , -837225, -838140 916, , 839056, 916 917, , 840889, 841805 918, , -842724, -919 919, , -844561, -845480 920, , 846400, 920 921, , 848241, 849161 922, , -850084, -923 923, , -851929, -852852 924, , 853776, 924 925, , 855625, 856549 926, , -857476, -927 927, , -859329, -860256 928, , 861184, 928 929, , 863041, 863969 930, , -864900, -931 931, , -866761, -867692 932, , 868624, 932 933, , 870489, 871421 934, , -872356, -935 935, , -874225, -875160 936, , 876096, 936 937, , 877969, 878905 938, , -879844, -939 939, , -881721, -882660 940, , 883600, 940 941, , 885481, 886421 942, , -887364, -943 943, , -889249, -890192 944, , 891136, 944 945, , 893025, 893969 946, , -894916, -947 947, , -896809, -897756 948, , 898704, 948 949, , 900601, 901549 950, , -902500, -951 951, , -904401, -905352 952, , 906304, 952 953, , 908209, 909161 954, , -910116, -955 955, , -912025, -912980 956, , 913936, 956 957, , 915849, 916805 958, , -917764, -959 959, , -919681, -920640 960, , 921600, 960 961, , 923521, 924481 962, , -925444, -963 963, , -927369, -928332 964, , 929296, 964 965, , 931225, 932189 966, , -933156, -967 967, , -935089, -936056 968, , 937024, 968 969, , 938961, 939929 970, , -940900, -971 971, , -942841, -943812 972, , 944784, 972 973, , 946729, 947701 974, , -948676, -975 975, , -950625, -951600 976, , 952576, 976 977, , 954529, 955505 978, , -956484, -979 979, , -958441, -959420 980, , 960400, 980 981, , 962361, 963341 982, , -964324, -983 983, , -966289, -967272 984, , 968256, 984 985, , 970225, 971209 986, , -972196, -987 987, , -974169, -975156 988, , 976144, 988 989, , 978121, 979109 990, , -980100, -991 991, , -982081, -983072 992, , 984064, 992 993, , 986049, 987041 994, , -988036, -995 995, , -990025, -991020 996, , 992016, 996 997, , 994009, 995005 998, , -996004, -999 999, , -998001, -999000 1000, , 1000000, 1000 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part VII 761, , 579121, 579881 762, , -580644, -763 763, , -582169, -582932 764, , 583696, 764 765, , 585225, 585989 766, , -586756, -767 767, , -588289, -589056 768, , 589824, 768 769, , 591361, 592129 770, , -592900, -771 771, , -594441, -595212 772, , 595984, 772 773, , 597529, 598301 774, , -599076, -775 775, , -600625, -601400 776, , 602176, 776 777, , 603729, 604505 778, , -605284, -779 779, , -606841, -607620 780, , 608400, 780 781, , 609961, 610741 782, , -611524, -783 783, , -613089, -613872 784, , 614656, 784 785, , 616225, 617009 786, , -617796, -787 787, , -619369, -620156 788, , 620944, 788 789, , 622521, 623309 790, , -624100, -791 791, , -625681, -626472 792, , 627264, 792 793, , 628849, 629641 794, , -630436, -795 795, , -632025, -632820 796, , 633616, 796 797, , 635209, 636005 798, , -636804, -799 799, , -638401, -639200 800, , 640000, 800 801, , 641601, 642401 802, , -643204, -803 803, , -644809, -645612 804, , 646416, 804 805, , 648025, 648829 806, , -649636, -807 807, , -651249, -652056 808, , 652864, 808 809, , 654481, 655289 810, , -656100, -811 811, , -657721, -658532 812, , 659344, 812 813, , 660969, 661781 814, , -662596, -815 815, , -664225, -665040 816, , 665856, 816 817, , 667489, 668305 818, , -669124, -819 819, , -670761, -671580 820, , 672400, 820 821, , 674041, 674861 822, , -675684, -823 823, , -677329, -678152 824, , 678976, 824 825, , 680625, 681449 826, , -682276, -827 827, , -683929, -684756 828, , 685584, 828 829, , 687241, 688069 830, , -688900, -831 831, , -690561, -691392 832, , 692224, 832 833, , 693889, 694721 834, , -695556, -835 835, , -697225, -698060 836, , 698896, 836 837, , 700569, 701405 838, , -702244, -839 839, , -703921, -704760 840, , 705600, 840 841, , 707281, 708121 842, , -708964, -843 843, , -710649, -711492 844, , 712336, 844 845, , 714025, 714869 846, , -715716, -847 847, , -717409, -718256 848, , 719104, 848 849, , 720801, 721649 850, , -722500, -851 851, , -724201, -725052 852, , 725904, 852 853, , 727609, 728461 854, , -729316, -855 855, , -731025, -731880 856, , 732736, 856 857, , 734449, 735305 858, , -736164, -859 859, , -737881, -738740 860, , 739600, 860 861, , 741321, 742181 862, , -743044, -863 863, , -744769, -745632 864, , 746496, 864 865, , 748225, 749089 866, , -749956, -867 867, , -751689, -752556 868, , 753424, 868 869, , 755161, 756029 870, , -756900, -871 871, , -758641, -759512 872, , 760384, 872 873, , 762129, 763001 874, , -763876, -875 875, , -765625, -766500 876, , 767376, 876 877, , 769129, 770005 878, , -770884, -879 879, , -772641, -773520 880, , 774400, 880 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part VI 641, , 410881, 411521 642, , -412164, -643 643, , -413449, -414092 644, , 414736, 644 645, , 416025, 416669 646, , -417316, -647 647, , -418609, -419256 648, , 419904, 648 649, , 421201, 421849 650, , -422500, -651 651, , -423801, -424452 652, , 425104, 652 653, , 426409, 427061 654, , -427716, -655 655, , -429025, -429680 656, , 430336, 656 657, , 431649, 432305 658, , -432964, -659 659, , -434281, -434940 660, , 435600, 660 661, , 436921, 437581 662, , -438244, -663 663, , -439569, -440232 664, , 440896, 664 665, , 442225, 442889 666, , -443556, -667 667, , -444889, -445556 668, , 446224, 668 669, , 447561, 448229 670, , -448900, -671 671, , -450241, -450912 672, , 451584, 672 673, , 452929, 453601 674, , -454276, -675 675, , -455625, -456300 676, , 456976, 676 677, , 458329, 459005 678, , -459684, -679 679, , -461041, -461720 680, , 462400, 680 681, , 463761, 464441 682, , -465124, -683 683, , -466489, -467172 684, , 467856, 684 685, , 469225, 469909 686, , -470596, -687 687, , -471969, -472656 688, , 473344, 688 689, , 474721, 475409 690, , -476100, -691 691, , -477481, -478172 692, , 478864, 692 693, , 480249, 480941 694, , -481636, -695 695, , -483025, -483720 696, , 484416, 696 697, , 485809, 486505 698, , -487204, -699 699, , -488601, -489300 700, , 490000, 700 701, , 491401, 492101 702, , -492804, -703 703, , -494209, -494912 704, , 495616, 704 705, , 497025, 497729 706, , -498436, -707 707, , -499849, -500556 708, , 501264, 708 709, , 502681, 503389 710, , -504100, -711 711, , -505521, -506232 712, , 506944, 712 713, , 508369, 509081 714, , -509796, -715 715, , -511225, -511940 716, , 512656, 716 717, , 514089, 514805 718, , -515524, -719 719, , -516961, -517680 720, , 518400, 720 721, , 519841, 520561 722, , -521284, -723 723, , -522729, -523452 724, , 524176, 724 725, , 525625, 526349 726, , -527076, -727 727, , -528529, -529256 728, , 529984, 728 729, , 531441, 532169 730, , -532900, -731 731, , -534361, -535092 732, , 535824, 732 733, , 537289, 538021 734, , -538756, -735 735, , -540225, -540960 736, , 541696, 736 737, , 543169, 543905 738, , -544644, -739 739, , -546121, -546860 740, , 547600, 740 741, , 549081, 549821 742, , -550564, -743 743, , -552049, -552792 744, , 553536, 744 745, , 555025, 555769 746, , -556516, -747 747, , -558009, -558756 748, , 559504, 748 749, , 561001, 561749 750, , -562500, -751 751, , -564001, -564752 752, , 565504, 752 753, , 567009, 567761 754, , -568516, -755 755, , -570025, -570780 756, , 571536, 756 757, , 573049, 573805 758, , -574564, -759 759, , -576081, -576840 760, , 577600, 760 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part V 521, , 271441, 271961 522, , -272484, -523 523, , -273529, -274052 524, , 274576, 524 525, , 275625, 276149 526, , -276676, -527 527, , -277729, -278256 528, , 278784, 528 529, , 279841, 280369 530, , -280900, -531 531, , -281961, -282492 532, , 283024, 532 533, , 284089, 284621 534, , -285156, -535 535, , -286225, -286760 536, , 287296, 536 537, , 288369, 288905 538, , -289444, -539 539, , -290521, -291060 540, , 291600, 540 541, , 292681, 293221 542, , -293764, -543 543, , -294849, -295392 544, , 295936, 544 545, , 297025, 297569 546, , -298116, -547 547, , -299209, -299756 548, , 300304, 548 549, , 301401, 301949 550, , -302500, -551 551, , -303601, -304152 552, , 304704, 552 553, , 305809, 306361 554, , -306916, -555 555, , -308025, -308580 556, , 309136, 556 557, , 310249, 310805 558, , -311364, -559 559, , -312481, -313040 560, , 313600, 560 561, , 314721, 315281 562, , -315844, -563 563, , -316969, -317532 564, , 318096, 564 565, , 319225, 319789 566, , -320356, -567 567, , -321489, -322056 568, , 322624, 568 569, , 323761, 324329 570, , -324900, -571 571, , -326041, -326612 572, , 327184, 572 573, , 328329, 328901 574, , -329476, -575 575, , -330625, -331200 576, , 331776, 576 577, , 332929, 333505 578, , -334084, -579 579, , -335241, -335820 580, , 336400, 580 581, , 337561, 338141 582, , -338724, -583 583, , -339889, -340472 584, , 341056, 584 585, , 342225, 342809 586, , -343396, -587 587, , -344569, -345156 588, , 345744, 588 589, , 346921, 347509 590, , -348100, -591 591, , -349281, -349872 592, , 350464, 592 593, , 351649, 352241 594, , -352836, -595 595, , -354025, -354620 596, , 355216, 596 597, , 356409, 357005 598, , -357604, -599 599, , -358801, -359400 600, , 360000, 600 601, , 361201, 361801 602, , -362404, -603 603, , -363609, -364212 604, , 364816, 604 605, , 366025, 366629 606, , -367236, -607 607, , -368449, -369056 608, , 369664, 608 609, , 370881, 371489 610, , -372100, -611 611, , -373321, -373932 612, , 374544, 612 613, , 375769, 376381 614, , -376996, -615 615, , -378225, -378840 616, , 379456, 616 617, , 380689, 381305 618, , -381924, -619 619, , -383161, -383780 620, , 384400, 620 621, , 385641, 386261 622, , -386884, -623 623, , -388129, -388752 624, , 389376, 624 625, , 390625, 391249 626, , -391876, -627 627, , -393129, -393756 628, , 394384, 628 629, , 395641, 396269 630, , -396900, -631 631, , -398161, -398792 632, , 399424, 632 633, , 400689, 401321 634, , -401956, -635 635, , -403225, -403860 636, , 404496, 636 637, , 405769, 406405 638, , -407044, -639 639, , -408321, -408960 640, , 409600, 640 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part IV 401, , 160801, 161201 402, , -161604, -403 403, , -162409, -162812 404, , 163216, 404 405, , 164025, 164429 406, , -164836, -407 407, , -165649, -166056 408, , 166464, 408 409, , 167281, 167689 410, , -168100, -411 411, , -168921, -169332 412, , 169744, 412 413, , 170569, 170981 414, , -171396, -415 415, , -172225, -172640 416, , 173056, 416 417, , 173889, 174305 418, , -174724, -419 419, , -175561, -175980 420, , 176400, 420 421, , 177241, 177661 422, , -178084, -423 423, , -178929, -179352 424, , 179776, 424 425, , 180625, 181049 426, , -181476, -427 427, , -182329, -182756 428, , 183184, 428 429, , 184041, 184469 430, , -184900, -431 431, , -185761, -186192 432, , 186624, 432 433, , 187489, 187921 434, , -188356, -435 435, , -189225, -189660 436, , 190096, 436 437, , 190969, 191405 438, , -191844, -439 439, , -192721, -193160 440, , 193600, 440 441, , 194481, 194921 442, , -195364, -443 443, , -196249, -196692 444, , 197136, 444 445, , 198025, 198469 446, , -198916, -447 447, , -199809, -200256 448, , 200704, 448 449, , 201601, 202049 450, , -202500, -451 451, , -203401, -203852 452, , 204304, 452 453, , 205209, 205661 454, , -206116, -455 455, , -207025, -207480 456, , 207936, 456 457, , 208849, 209305 458, , -209764, -459 459, , -210681, -211140 460, , 211600, 460 461, , 212521, 212981 462, , -213444, -463 463, , -214369, -214832 464, , 215296, 464 465, , 216225, 216689 466, , -217156, -467 467, , -218089, -218556 468, , 219024, 468 469, , 219961, 220429 470, , -220900, -471 471, , -221841, -222312 472, , 222784, 472 473, , 223729, 224201 474, , -224676, -475 475, , -225625, -226100 476, , 226576, 476 477, , 227529, 228005 478, , -228484, -479 479, , -229441, -229920 480, , 230400, 480 481, , 231361, 231841 482, , -232324, -483 483, , -233289, -233772 484, , 234256, 484 485, , 235225, 235709 486, , -236196, -487 487, , -237169, -237656 488, , 238144, 488 489, , 239121, 239609 490, , -240100, -491 491, , -241081, -241572 492, , 242064, 492 493, , 243049, 243541 494, , -244036, -495 495, , -245025, -245520 496, , 246016, 496 497, , 247009, 247505 498, , -248004, -499 499, , -249001, -249500 500, , 250000, 500 501, , 251001, 251501 502, , -252004, -503 503, , -253009, -253512 504, , 254016, 504 505, , 255025, 255529 506, , -256036, -507 507, , -257049, -257556 508, , 258064, 508 509, , 259081, 259589 510, , -260100, -511 511, , -261121, -261632 512, , 262144, 512 513, , 263169, 263681 514, , -264196, -515 515, , -265225, -265740 516, , 266256, 516 517, , 267289, 267805 518, , -268324, -519 519, , -269361, -269880 520, , 270400, 520 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part III 281, , 78961, 79241 282, , -79524, -283 283, , -80089, -80372 284, , 80656, 284 285, , 81225, 81509 286, , -81796, -287 287, , -82369, -82656 288, , 82944, 288 289, , 83521, 83809 290, , -84100, -291 291, , -84681, -84972 292, , 85264, 292 293, , 85849, 86141 294, , -86436, -295 295, , -87025, -87320 296, , 87616, 296 297, , 88209, 88505 298, , -88804, -299 299, , -89401, -89700 300, , 90000, 300 301, , 90601, 90901 302, , -91204, -303 303, , -91809, -92112 304, , 92416, 304 305, , 93025, 93329 306, , -93636, -307 307, , -94249, -94556 308, , 94864, 308 309, , 95481, 95789 310, , -96100, -311 311, , -96721, -97032 312, , 97344, 312 313, , 97969, 98281 314, , -98596, -315 315, , -99225, -99540 316, , 99856, 316 317, , 100489, 100805 318, , -101124, -319 319, , -101761, -102080 320, , 102400, 320 321, , 103041, 103361 322, , -103684, -323 323, , -104329, -104652 324, , 104976, 324 325, , 105625, 105949 326, , -106276, -327 327, , -106929, -107256 328, , 107584, 328 329, , 108241, 108569 330, , -108900, -331 331, , -109561, -109892 332, , 110224, 332 333, , 110889, 111221 334, , -111556, -335 335, , -112225, -112560 336, , 112896, 336 337, , 113569, 113905 338, , -114244, -339 339, , -114921, -115260 340, , 115600, 340 341, , 116281, 116621 342, , -116964, -343 343, , -117649, -117992 344, , 118336, 344 345, , 119025, 119369 346, , -119716, -347 347, , -120409, -120756 348, , 121104, 348 349, , 121801, 122149 350, , -122500, -351 351, , -123201, -123552 352, , 123904, 352 353, , 124609, 124961 354, , -125316, -355 355, , -126025, -126380 356, , 126736, 356 357, , 127449, 127805 358, , -128164, -359 359, , -128881, -129240 360, , 129600, 360 361, , 130321, 130681 362, , -131044, -363 363, , -131769, -132132 364, , 132496, 364 365, , 133225, 133589 366, , -133956, -367 367, , -134689, -135056 368, , 135424, 368 369, , 136161, 136529 370, , -136900, -371 371, , -137641, -138012 372, , 138384, 372 373, , 139129, 139501 374, , -139876, -375 375, , -140625, -141000 376, , 141376, 376 377, , 142129, 142505 378, , -142884, -379 379, , -143641, -144020 380, , 144400, 380 381, , 145161, 145541 382, , -145924, -383 383, , -146689, -147072 384, , 147456, 384 385, , 148225, 148609 386, , -148996, -387 387, , -149769, -150156 388, , 150544, 388 389, , 151321, 151709 390, , -152100, -391 391, , -152881, -153272 392, , 153664, 392 393, , 154449, 154841 394, , -155236, -395 395, , -156025, -156420 396, , 156816, 396 397, , 157609, 158005 398, , -158404, -399 399, , -159201, -159600 400, , 160000, 400 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part II 151, , -22801, -22952 152, , 23104, 152 153, , 23409, 23561 154, , -23716, -155 155, , -24025, -24180 156, , 24336, 156 157, , 24649, 24805 158, , -24964, -159 159, , -25281, -25440 160, , 25600, 160 161, , 25921, 26081 162, , -26244, -163 163, , -26569, -26732 164, , 26896, 164 165, , 27225, 27389 166, , -27556, -167 167, , -27889, -28056 168, , 28224, 168 169, , 28561, 28729 170, , -28900, -171 171, , -29241, -29412 172, , 29584, 172 173, , 29929, 30101 174, , -30276, -175 175, , -30625, -30800 176, , 30976, 176 177, , 31329, 31505 178, , -31684, -179 179, , -32041, -32220 180, , 32400, 180 181, , 32761, 32941 182, , -33124, -183 183, , -33489, -33672 184, , 33856, 184 185, , 34225, 34409 186, , -34596, -187 187, , -34969, -35156 188, , 35344, 188 189, , 35721, 35909 190, , -36100, -191 191, , -36481, -36672 192, , 36864, 192 193, , 37249, 37441 194, , -37636, -195 195, , -38025, -38220 196, , 38416, 196 197, , 38809, 39005 198, , -39204, -199 199, , -39601, -39800 200, , 40000, 200 201, , 40401, 40601 202, , -40804, -203 203, , -41209, -41412 204, , 41616, 204 205, , 42025, 42229 206, , -42436, -207 207, , -42849, -43056 208, , 43264, 208 209, , 43681, 43889 210, , -44100, -211 211, , -44521, -44732 212, , 44944, 212 213, , 45369, 45581 214, , -45796, -215 215, , -46225, -46440 216, , 46656, 216 217, , 47089, 47305 218, , -47524, -219 219, , -47961, -48180 220, , 48400, 220 221, , 48841, 49061 222, , -49284, -223 223, , -49729, -49952 224, , 50176, 224 225, , 50625, 50849 226, , -51076, -227 227, , -51529, -51756 228, , 51984, 228 229, , 52441, 52669 230, , -52900, -231 231, , -53361, -53592 232, , 53824, 232 233, , 54289, 54521 234, , -54756, -235 235, , -55225, -55460 236, , 55696, 236 237, , 56169, 56405 238, , -56644, -239 239, , -57121, -57360 240, , 57600, 240 241, , 58081, 58321 242, , -58564, -243 243, , -59049, -59292 244, , 59536, 244 245, , 60025, 60269 246, , -60516, -247 247, , -61009, -61256 248, , 61504, 248 249, , 62001, 62249 250, , -62500, -251 251, , -63001, -63252 252, , 63504, 252 253, , 64009, 64261 254, , -64516, -255 255, , -65025, -65280 256, , 65536, 256 257, , 66049, 66305 258, , -66564, -259 259, , -67081, -67340 260, , 67600, 260 261, , 68121, 68381 262, , -68644, -263 263, , -69169, -69432 264, , 69696, 264 265, , 70225, 70489 266, , -70756, -267 267, , -71289, -71556 268, , 71824, 268 269, , 72361, 72629 270, , -72900, -271 271, , -73441, -73712 272, , 73984, 272 273, , 74529, 74801 274, , -75076, -275 275, , -75625, -75900 276, , 76176, 276 277, , 76729, 77005 278, , -77284, -279 279, , -77841, -78120 280, , 78400, 280 --------------------------------

 May 18, 2011 Sequence Series by: Staff -------------------------------- footnote (1) - Part I n, , Series, Sum , , , 1, , 1, 1 2, , -4, -3 3, , -9, -12 4, , 16, 4 5, , 25, 29 6, , -36, -7 7, , -49, -56 8, , 64, 8 9, , 81, 89 10, , -100, -11 11, , -121, -132 12, , 144, 12 13, , 169, 181 14, , -196, -15 15, , -225, -240 16, , 256, 16 17, , 289, 305 18, , -324, -19 19, , -361, -380 20, , 400, 20 21, , 441, 461 22, , -484, -23 23, , -529, -552 24, , 576, 24 25, , 625, 649 26, , -676, -27 27, , -729, -756 28, , 784, 28 29, , 841, 869 30, , -900, -31 31, , -961, -992 32, , 1024, 32 33, , 1089, 1121 34, , -1156, -35 35, , -1225, -1260 36, , 1296, 36 37, , 1369, 1405 38, , -1444, -39 39, , -1521, -1560 40, , 1600, 40 41, , 1681, 1721 42, , -1764, -43 43, , -1849, -1892 44, , 1936, 44 45, , 2025, 2069 46, , -2116, -47 47, , -2209, -2256 48, , 2304, 48 49, , 2401, 2449 50, , -2500, -51 51, , -2601, -2652 52, , 2704, 52 53, , 2809, 2861 54, , -2916, -55 55, , -3025, -3080 56, , 3136, 56 57, , 3249, 3305 58, , -3364, -59 59, , -3481, -3540 60, , 3600, 60 61, , 3721, 3781 62, , -3844, -63 63, , -3969, -4032 64, , 4096, 64 65, , 4225, 4289 66, , -4356, -67 67, , -4489, -4556 68, , 4624, 68 69, , 4761, 4829 70, , -4900, -71 71, , -5041, -5112 72, , 5184, 72 73, , 5329, 5401 74, , -5476, -75 75, , -5625, -5700 76, , 5776, 76 77, , 5929, 6005 78, , -6084, -79 79, , -6241, -6320 80, , 6400, 80 81, , 6561, 6641 82, , -6724, -83 83, , -6889, -6972 84, , 7056, 84 85, , 7225, 7309 86, , -7396, -87 87, , -7569, -7656 88, , 7744, 88 89, , 7921, 8009 90, , -8100, -91 91, , -8281, -8372 92, , 8464, 92 93, , 8649, 8741 94, , -8836, -95 95, , -9025, -9120 96, , 9216, 96 97, , 9409, 9505 98, , -9604, -99 99, , -9801, -9900 100, , 10000, 100 101, , 10201, 10301 102, , -10404, -103 103, , -10609, -10712 104, , 10816, 104 105, , 11025, 11129 106, , -11236, -107 107, , -11449, -11556 108, , 11664, 108 109, , 11881, 11989 110, , -12100, -111 111, , -12321, -12432 112, , 12544, 112 113, , 12769, 12881 114, , -12996, -115 115, , -13225, -13340 116, , 13456, 116 117, , 13689, 13805 118, , -13924, -119 119, , -14161, -14280 120, , 14400, 120 121, , 14641, 14761 122, , -14884, -123 123, , -15129, -15252 124, , 15376, 124 125, , 15625, 15749 126, , -15876, -127 127, , -16129, -16256 128, , 16384, 128 129, , 16641, 16769 130, , -16900, -131 131, , -17161, -17292 132, , 17424, 132 133, , 17689, 17821 134, , -17956, -135 135, , -18225, -18360 136, , 18496, 136 137, , 18769, 18905 138, , -19044, -139 139, , -19321, -19460 140, , 19600, 140 141, , 19881, 20021 142, , -20164, -143 143, , -20449, -20592 144, , 20736, 144 145, , 21025, 21169 146, , -21316, -147 147, , -21609, -21756 148, , 21904, 148 149, , 22201, 22349 150, , -22500, -151 --------------------------------

 May 18, 2011 Sequence Series by: S The question: Marc first writes the perfect squares as a sequence1,4,9,16,25,36,49,64,81,100...After the number 1, he then alternates by making two terms negative followed by leaving two terms negative. Marc?s new sequence is:1,-4,-9,16,25,-36,-49,64,81,-100...What is the sum of the first 2011 terms in this new sequence?The answer: The sum of the first 2011 terms is: -4,046,132 I used Excel to compute this answer.The calculations from the spreadsheet are included as footnote (1).Thanks for writing.Staff www.solving-math-problems.com