Maxima 5.28.0-2 http://maxima.sourceforge.net using Lisp GNU Common Lisp (GCL) GCL 2.6.8 (a.k.a. GCL) Distributed under the GNU Public License. See the file COPYING. Dedicated to the memory of William Schelter. The function bug_report() provides bug reporting information. (%i1) y(n):= n+floor(1/2+n^(1/2))$ v:makelist(0,i,1,y(10000))$ f:makelist(0,i,1,10000)$ for n:1 thru 10000 do(v[y(n)]:n)$ f[1]:1$ for n:2 thru 10000 do( c:n,d:c^2,b:0, while d-c^2=0 do( b:b+1,d:c,c:floor(c^(1/2)) ), f[n]:(y(v[d]-(-1)^(v[d])))^(2^(b-(1-(-1)^(v[d]))/2)) )$ f; (%i2) (%i3) (%i4) (%i5) (%i6) (%i7) (%o7) [1, 3, 4, 9, 6, 25, 8, 49, 16, 11, 100, 13, 144, 15, 196, 81, 18, 289, 20, 361, 22, 441, 24, 529, 36, 27, 676, 29, 784, 31, 900, 33, 1024, 35, 1156, 625, 38, 1369, 40, 1521, 42, 1681, 44, 1849, 46, 2025, 48, 2209, 64, 51, 2500, 53, 2704, 55, 2916, 57, 3136, 59, 3364, 61, 3600, 63, 3844, 2401, 66, 4225, 68, 4489, 70, 4761, 72, 5041, 74, 5329, 76, 5625, 78, 5929, 80, 6241, 256, 83, 6724, 85, 7056, 87, 7396, 89, 7744, 91, 8100, 93, 8464, 95, 8836, 97, 9216, 99, 9604, 121, 102, 10201, 104, 10609, 106, 11025, 108, 11449, 110, 11881, 112, 12321, 114, 12769, 116, 13225, 118, 13689, 120, 14161, 10000, 123, 14884, 125, 15376, 127, 15876, 129, 16384, 131, 16900, 133, 17424, 135, 17956, 137, 18496, 139, 19044, 141, 19600, 143, 20164, 169, 146, 21025, 148, 21609, 150, 22201, 152, 22801, 154, 23409, 156, 24025, 158, 24649, 160, 25281, 162, 25921, 164, 26569, 166, 27225, 168, 27889, 20736, 171, 28900, 173, 29584, 175, 30276, 177, 30976, 179, 31684, 181, 32400, 183, 33124, 185, 33856, 187, 34596, 189, 35344, 191, 36100, 193, 36864, 195, 37636, 225, 198, 38809, 200, 39601, 202, 40401, 204, 41209, 206, 42025, 208, 42849, 210, 43681, 212, 44521, 214, 45369, 216, 46225, 218, 47089, 220, 47961, 222, 48841, 224, 49729, 38416, 227, 51076, 229, 51984, 231, 52900, 233, 53824, 235, 54756, 237, 55696, 239, 56644, 241, 57600, 243, 58564, 245, 59536, 247, 60516, 249, 61504, 251, 62500, 253, 63504, 255, 64516, 6561, 258, 66049, 260, 67081, 262, 68121, 264, 69169, 266, 70225, 268, 71289, 270, 72361, 272, 73441, 274, 74529, 276, 75625, 278, 76729, 280, 77841, 282, 78961, 284, 80089, 286, 81225, 288, 82369, 324, 291, 84100, 293, 85264, 295, 86436, 297, 87616, 299, 88804, 301, 90000, 303, 91204, 305, 92416, 307, 93636, 309, 94864, 311, 96100, 313, 97344, 315, 98596, 317, 99856, 319, 101124, 321, 102400, 323, 103684, 83521, 326, 105625, 328, 106929, 330, 108241, 332, 109561, 334, 110889, 336, 112225, 338, 113569, 340, 114921, 342, 116281, 344, 117649, 346, 119025, 348, 120409, 350, 121801, 352, 123201, 354, 124609, 356, 126025, 358, 127449, 360, 128881, 400, 363, 131044, 365, 132496, 367, 133956, 369, 135424, 371, 136900, 373, 138384, 375, 139876, 377, 141376, 379, 142884, 381, 144400, 383, 145924, 385, 147456, 387, 148996, 389, 150544, 391, 152100, 393, 153664, 395, 155236, 397, 156816, 399, 158404, 130321, 402, 160801, 404, 162409, 406, 164025, 408, 165649, 410, 167281, 412, 168921, 414, 170569, 416, 172225, 418, 173889, 420, 175561, 422, 177241, 424, 178929, 426, 180625, 428, 182329, 430, 184041, 432, 185761, 434, 187489, 436, 189225, 438, 190969, 440, 192721, 484, 443, 195364, 445, 197136, 447, 198916, 449, 200704, 451, 202500, 453, 204304, 455, 206116, 457, 207936, 459, 209764, 461, 211600, 463, 213444, 465, 215296, 467, 217156, 469, 219024, 471, 220900, 473, 222784, 475, 224676, 477, 226576, 479, 228484, 481, 230400, 483, 232324, 194481, 486, 235225, 488, 237169, 490, 239121, 492, 241081, 494, 243049, 496, 245025, 498, 247009, 500, 249001, 502, 251001, 504, 253009, 506, 255025, 508, 257049, 510, 259081, 512, 261121, 514, 263169, 516, 265225, 518, 267289, 520, 269361, 522, 271441, 524, 273529, 526, 275625, 528, 277729, 576, 531, 280900, 533, 283024, 535, 285156, 537, 287296, 539, 289444, 541, 291600, 543, 293764, 545, 295936, 547, 298116, 549, 300304, 551, 302500, 553, 304704, 555, 306916, 557, 309136, 559, 311364, 561, 313600, 563, 315844, 565, 318096, 567, 320356, 569, 322624, 571, 324900, 573, 327184, 575, 329476, 279841, 578, 332929, 580, 335241, 582, 337561, 584, 339889, 586, 342225, 588, 344569, 590, 346921, 592, 349281, 594, 351649, 596, 354025, 598, 356409, 600, 358801, 602, 361201, 604, 363609, 606, 366025, 608, 368449, 610, 370881, 612, 373321, 614, 375769, 616, 378225, 618, 380689, 620, 383161, 622, 385641, 624, 388129, 1296, 627, 391876, 629, 394384, 631, 396900, 633, 399424, 635, 401956, 637, 404496, 639, 407044, 641, 409600, 643, 412164, 645, 414736, 647, 417316, 649, 419904, 651, 422500, 653, 425104, 655, 427716, 657, 430336, 659, 432964, 661, 435600, 663, 438244, 665, 440896, 667, 443556, 669, 446224, 671, 448900, 673, 451584, 675, 454276, 729, 678, 458329, 680, 461041, 682, 463761, 684, 466489, 686, 469225, 688, 471969, 690, 474721, 692, 477481, 694, 480249, 696, 483025, 698, 485809, 700, 488601, 702, 491401, 704, 494209, 706, 497025, 708, 499849, 710, 502681, 712, 505521, 714, 508369, 716, 511225, 718, 514089, 720, 516961, 722, 519841, 724, 522729, 726, 525625, 728, 528529, 456976, 731, 532900, 733, 535824, 735, 538756, 737, 541696, 739, 544644, 741, 547600, 743, 550564, 745, 553536, 747, 556516, 749, 559504, 751, 562500, 753, 565504, 755, 568516, 757, 571536, 759, 574564, 761, 577600, 763, 580644, 765, 583696, 767, 586756, 769, 589824, 771, 592900, 773, 595984, 775, 599076, 777, 602176, 779, 605284, 781, 608400, 783, 611524, 841, 786, 616225, 788, 619369, 790, 622521, 792, 625681, 794, 628849, 796, 632025, 798, 635209, 800, 638401, 802, 641601, 804, 644809, 806, 648025, 808, 651249, 810, 654481, 812, 657721, 814, 660969, 816, 664225, 818, 667489, 820, 670761, 822, 674041, 824, 677329, 826, 680625, 828, 683929, 830, 687241, 832, 690561, 834, 693889, 836, 697225, 838, 700569, 840, 703921, 614656, 843, 708964, 845, 712336, 847, 715716, 849, 719104, 851, 722500, 853, 725904, 855, 729316, 857, 732736, 859, 736164, 861, 739600, 863, 743044, 865, 746496, 867, 749956, 869, 753424, 871, 756900, 873, 760384, 875, 763876, 877, 767376, 879, 770884, 881, 774400, 883, 777924, 885, 781456, 887, 784996, 889, 788544, 891, 792100, 893, 795664, 895, 799236, 897, 802816, 899, 806404, 961, 902, 811801, 904, 815409, 906, 819025, 908, 822649, 910, 826281, 912, 829921, 914, 833569, 916, 837225, 918, 840889, 920, 844561, 922, 848241, 924, 851929, 926, 855625, 928, 859329, 930, 863041, 932, 866761, 934, 870489, 936, 874225, 938, 877969, 940, 881721, 942, 885481, 944, 889249, 946, 893025, 948, 896809, 950, 900601, 952, 904401, 954, 908209, 956, 912025, 958, 915849, 960, 919681, 810000, 963, 925444, 965, 929296, 967, 933156, 969, 937024, 971, 940900, 973, 944784, 975, 948676, 977, 952576, 979, 956484, 981, 960400, 983, 964324, 985, 968256, 987, 972196, 989, 976144, 991, 980100, 993, 984064, 995, 988036, 997, 992016, 999, 996004, 1001, 1000000, 1003, 1004004, 1005, 1008016, 1007, 1012036, 1009, 1016064, 1011, 1020100, 1013, 1024144, 1015, 1028196, 1017, 1032256, 1019, 1036324, 1021, 1040400, 1023, 1044484, 1089, 1026, 1050625, 1028, 1054729, 1030, 1058841, 1032, 1062961, 1034, 1067089, 1036, 1071225, 1038, 1075369, 1040, 1079521, 1042, 1083681, 1044, 1087849, 1046, 1092025, 1048, 1096209, 1050, 1100401, 1052, 1104601, 1054, 1108809, 1056, 1113025, 1058, 1117249, 1060, 1121481, 1062, 1125721, 1064, 1129969, 1066, 1134225, 1068, 1138489, 1070, 1142761, 1072, 1147041, 1074, 1151329, 1076, 1155625, 1078, 1159929, 1080, 1164241, 1082, 1168561, 1084, 1172889, 1086, 1177225, 1088, 1181569, 1048576, 1091, 1188100, 1093, 1192464, 1095, 1196836, 1097, 1201216, 1099, 1205604, 1101, 1210000, 1103, 1214404, 1105, 1218816, 1107, 1223236, 1109, 1227664, 1111, 1232100, 1113, 1236544, 1115, 1240996, 1117, 1245456, 1119, 1249924, 1121, 1254400, 1123, 1258884, 1125, 1263376, 1127, 1267876, 1129, 1272384, 1131, 1276900, 1133, 1281424, 1135, 1285956, 1137, 1290496, 1139, 1295044, 1141, 1299600, 1143, 1304164, 1145, 1308736, 1147, 1313316, 1149, 1317904, 1151, 1322500, 1153, 1327104, 1155, 1331716, 1225, 1158, 1338649, 1160, 1343281, 1162, 1347921, 1164, 1352569, 1166, 1357225, 1168, 1361889, 1170, 1366561, 1172, 1371241, 1174, 1375929, 1176, 1380625, 1178, 1385329, 1180, 1390041, 1182, 1394761, 1184, 1399489, 1186, 1404225, 1188, 1408969, 1190, 1413721, 1192, 1418481, 1194, 1423249, 1196, 1428025, 1198, 1432809, 1200, 1437601, 1202, 1442401, 1204, 1447209, 1206, 1452025, 1208, 1456849, 1210, 1461681, 1212, 1466521, 1214, 1471369, 1216, 1476225, 1218, 1481089, 1220, 1485961, 1222, 1490841, 1224, 1495729, 1336336, 1227, 1503076, 1229, 1507984, 1231, 1512900, 1233, 1517824, 1235, 1522756, 1237, 1527696, 1239, 1532644, 1241, 1537600, 1243, 1542564, 1245, 1547536, 1247, 1552516, 1249, 1557504, 1251, 1562500, 1253, 1567504, 1255, 1572516, 1257, 1577536, 1259, 1582564, 1261, 1587600, 1263, 1592644, 1265, 1597696, 1267, 1602756, 1269, 1607824, 1271, 1612900, 1273, 1617984, 1275, 1623076, 1277, 1628176, 1279, 1633284, 1281, 1638400, 1283, 1643524, 1285, 1648656, 1287, 1653796, 1289, 1658944, 1291, 1664100, 1293, 1669264, 1295, 1674436, 390625, 1298, 1682209, 1300, 1687401, 1302, 1692601, 1304, 1697809, 1306, 1703025, 1308, 1708249, 1310, 1713481, 1312, 1718721, 1314, 1723969, 1316, 1729225, 1318, 1734489, 1320, 1739761, 1322, 1745041, 1324, 1750329, 1326, 1755625, 1328, 1760929, 1330, 1766241, 1332, 1771561, 1334, 1776889, 1336, 1782225, 1338, 1787569, 1340, 1792921, 1342, 1798281, 1344, 1803649, 1346, 1809025, 1348, 1814409, 1350, 1819801, 1352, 1825201, 1354, 1830609, 1356, 1836025, 1358, 1841449, 1360, 1846881, 1362, 1852321, 1364, 1857769, 1366, 1863225, 1368, 1868689, 1444, 1371, 1876900, 1373, 1882384, 1375, 1887876, 1377, 1893376, 1379, 1898884, 1381, 1904400, 1383, 1909924, 1385, 1915456, 1387, 1920996, 1389, 1926544, 1391, 1932100, 1393, 1937664, 1395, 1943236, 1397, 1948816, 1399, 1954404, 1401, 1960000, 1403, 1965604, 1405, 1971216, 1407, 1976836, 1409, 1982464, 1411, 1988100, 1413, 1993744, 1415, 1999396, 1417, 2005056, 1419, 2010724, 1421, 2016400, 1423, 2022084, 1425, 2027776, 1427, 2033476, 1429, 2039184, 1431, 2044900, 1433, 2050624, 1435, 2056356, 1437, 2062096, 1439, 2067844, 1441, 2073600, 1443, 2079364, 1874161, 1446, 2088025, 1448, 2093809, 1450, 2099601, 1452, 2105401, 1454, 2111209, 1456, 2117025, 1458, 2122849, 1460, 2128681, 1462, 2134521, 1464, 2140369, 1466, 2146225, 1468, 2152089, 1470, 2157961, 1472, 2163841, 1474, 2169729, 1476, 2175625, 1478, 2181529, 1480, 2187441, 1482, 2193361, 1484, 2199289, 1486, 2205225, 1488, 2211169, 1490, 2217121, 1492, 2223081, 1494, 2229049, 1496, 2235025, 1498, 2241009, 1500, 2247001, 1502, 2253001, 1504, 2259009, 1506, 2265025, 1508, 2271049, 1510, 2277081, 1512, 2283121, 1514, 2289169, 1516, 2295225, 1518, 2301289, 1520, 2307361, 1600, 1523, 2316484, 1525, 2322576, 1527, 2328676, 1529, 2334784, 1531, 2340900, 1533, 2347024, 1535, 2353156, 1537, 2359296, 1539, 2365444, 1541, 2371600, 1543, 2377764, 1545, 2383936, 1547, 2390116, 1549, 2396304, 1551, 2402500, 1553, 2408704, 1555, 2414916, 1557, 2421136, 1559, 2427364, 1561, 2433600, 1563, 2439844, 1565, 2446096, 1567, 2452356, 1569, 2458624, 1571, 2464900, 1573, 2471184, 1575, 2477476, 1577, 2483776, 1579, 2490084, 1581, 2496400, 1583, 2502724, 1585, 2509056, 1587, 2515396, 1589, 2521744, 1591, 2528100, 1593, 2534464, 1595, 2540836, 1597, 2547216, 1599, 2553604, 2313441, 1602, 2563201, 1604, 2569609, 1606, 2576025, 1608, 2582449, 1610, 2588881, 1612, 2595321, 1614, 2601769, 1616, 2608225, 1618, 2614689, 1620, 2621161, 1622, 2627641, 1624, 2634129, 1626, 2640625, 1628, 2647129, 1630, 2653641, 1632, 2660161, 1634, 2666689, 1636, 2673225, 1638, 2679769, 1640, 2686321, 1642, 2692881, 1644, 2699449, 1646, 2706025, 1648, 2712609, 1650, 2719201, 1652, 2725801, 1654, 2732409, 1656, 2739025, 1658, 2745649, 1660, 2752281, 1662, 2758921, 1664, 2765569, 1666, 2772225, 1668, 2778889, 1670, 2785561, 1672, 2792241, 1674, 2798929, 1676, 2805625, 1678, 2812329, 1680, 2819041, 1764, 1683, 2829124, 1685, 2835856, 1687, 2842596, 1689, 2849344, 1691, 2856100, 1693, 2862864, 1695, 2869636, 1697, 2876416, 1699, 2883204, 1701, 2890000, 1703, 2896804, 1705, 2903616, 1707, 2910436, 1709, 2917264, 1711, 2924100, 1713, 2930944, 1715, 2937796, 1717, 2944656, 1719, 2951524, 1721, 2958400, 1723, 2965284, 1725, 2972176, 1727, 2979076, 1729, 2985984, 1731, 2992900, 1733, 2999824, 1735, 3006756, 1737, 3013696, 1739, 3020644, 1741, 3027600, 1743, 3034564, 1745, 3041536, 1747, 3048516, 1749, 3055504, 1751, 3062500, 1753, 3069504, 1755, 3076516, 1757, 3083536, 1759, 3090564, 1761, 3097600, 1763, 3104644, 2825761, 1766, 3115225, 1768, 3122289, 1770, 3129361, 1772, 3136441, 1774, 3143529, 1776, 3150625, 1778, 3157729, 1780, 3164841, 1782, 3171961, 1784, 3179089, 1786, 3186225, 1788, 3193369, 1790, 3200521, 1792, 3207681, 1794, 3214849, 1796, 3222025, 1798, 3229209, 1800, 3236401, 1802, 3243601, 1804, 3250809, 1806, 3258025, 1808, 3265249, 1810, 3272481, 1812, 3279721, 1814, 3286969, 1816, 3294225, 1818, 3301489, 1820, 3308761, 1822, 3316041, 1824, 3323329, 1826, 3330625, 1828, 3337929, 1830, 3345241, 1832, 3352561, 1834, 3359889, 1836, 3367225, 1838, 3374569, 1840, 3381921, 1842, 3389281, 1844, 3396649, 1846, 3404025, 1848, 3411409, 1936, 1851, 3422500, 1853, 3429904, 1855, 3437316, 1857, 3444736, 1859, 3452164, 1861, 3459600, 1863, 3467044, 1865, 3474496, 1867, 3481956, 1869, 3489424, 1871, 3496900, 1873, 3504384, 1875, 3511876, 1877, 3519376, 1879, 3526884, 1881, 3534400, 1883, 3541924, 1885, 3549456, 1887, 3556996, 1889, 3564544, 1891, 3572100, 1893, 3579664, 1895, 3587236, 1897, 3594816, 1899, 3602404, 1901, 3610000, 1903, 3617604, 1905, 3625216, 1907, 3632836, 1909, 3640464, 1911, 3648100, 1913, 3655744, 1915, 3663396, 1917, 3671056, 1919, 3678724, 1921, 3686400, 1923, 3694084, 1925, 3701776, 1927, 3709476, 1929, 3717184, 1931, 3724900, 1933, 3732624, 1935, 3740356, 3418801, 1938, 3751969, 1940, 3759721, 1942, 3767481, 1944, 3775249, 1946, 3783025, 1948, 3790809, 1950, 3798601, 1952, 3806401, 1954, 3814209, 1956, 3822025, 1958, 3829849, 1960, 3837681, 1962, 3845521, 1964, 3853369, 1966, 3861225, 1968, 3869089, 1970, 3876961, 1972, 3884841, 1974, 3892729, 1976, 3900625, 1978, 3908529, 1980, 3916441, 1982, 3924361, 1984, 3932289, 1986, 3940225, 1988, 3948169, 1990, 3956121, 1992, 3964081, 1994, 3972049, 1996, 3980025, 1998, 3988009, 2000, 3996001, 2002, 4004001, 2004, 4012009, 2006, 4020025, 2008, 4028049, 2010, 4036081, 2012, 4044121, 2014, 4052169, 2016, 4060225, 2018, 4068289, 2020, 4076361, 2022, 4084441, 2024, 4092529, 2116, 2027, 4104676, 2029, 4112784, 2031, 4120900, 2033, 4129024, 2035, 4137156, 2037, 4145296, 2039, 4153444, 2041, 4161600, 2043, 4169764, 2045, 4177936, 2047, 4186116, 2049, 4194304, 2051, 4202500, 2053, 4210704, 2055, 4218916, 2057, 4227136, 2059, 4235364, 2061, 4243600, 2063, 4251844, 2065, 4260096, 2067, 4268356, 2069, 4276624, 2071, 4284900, 2073, 4293184, 2075, 4301476, 2077, 4309776, 2079, 4318084, 2081, 4326400, 2083, 4334724, 2085, 4343056, 2087, 4351396, 2089, 4359744, 2091, 4368100, 2093, 4376464, 2095, 4384836, 2097, 4393216, 2099, 4401604, 2101, 4410000, 2103, 4418404, 2105, 4426816, 2107, 4435236, 2109, 4443664, 2111, 4452100, 2113, 4460544, 2115, 4468996, 4100625, 2118, 4481689, 2120, 4490161, 2122, 4498641, 2124, 4507129, 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