cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-10 of 10 results.

A322479 Numbers that are sums of consecutive square pyramidal numbers.

Original entry on oeis.org

0, 1, 5, 6, 14, 19, 20, 30, 44, 49, 50, 55, 85, 91, 99, 104, 105, 140, 146, 176, 190, 195, 196, 204, 231, 285, 286, 316, 330, 335, 336, 344, 385, 435, 489, 490, 506, 520, 534, 539, 540, 629, 650, 670, 720, 775, 805, 819, 824, 825, 874, 891, 1014, 1015, 1105, 1156, 1160, 1176, 1190
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 19 2018

Keywords

Links

Crossrefs

Cf. A000330, A034705, A322468.

Programs

  • Mathematica
    anmax = 1000; nmax = Floor[(3*anmax)^(1/3)] + 1; Select[Union[Flatten[Table[Sum[k*(k + 1)*(2*k + 1)/6, {k, i, j}], {i, 0, nmax}, {j, i, nmax}]]], # <= anmax &] (* Vaclav Kotesovec, Dec 21 2018 *)

A322610 Numbers that are sums (of a nonempty sequence) of consecutive centered triangular numbers.

Original entry on oeis.org

1, 4, 5, 10, 14, 15, 19, 29, 31, 33, 34, 46, 50, 60, 64, 65, 77, 85, 96, 106, 109, 110, 111, 136, 141, 149, 160, 166, 170, 174, 175, 194, 195, 199, 226, 235, 245, 255, 258, 259, 260, 274, 302, 304, 316, 330, 335, 354, 361, 364, 365, 368, 369, 394, 409, 411, 434, 440, 460, 471, 490, 496, 500
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 20 2018

Keywords

Links

Crossrefs

Cf. A005448, A005918 (2 consec), A006003, A034706, A320728, A322468, A322611, A322638, A322640.

Programs

  • Mathematica
    anmax = 1000; nmax = Floor[Sqrt[2*anmax/3]] + 1; Select[Union[Flatten[Table[Sum[(3*k^2 + 3*k + 2)/2, {k, i, j}], {i, 0, nmax}, {j, i, nmax}]]], # <= anmax &] (* Vaclav Kotesovec, Dec 21 2018 *)

A329634 Numbers that are sums of consecutive centered tetrahedral numbers (A005894).

Original entry on oeis.org

1, 5, 6, 15, 20, 21, 35, 50, 55, 56, 69, 104, 119, 121, 124, 125, 190, 195, 225, 240, 245, 246, 295, 316, 385, 420, 425, 435, 440, 441, 490, 589, 611, 680, 715, 720, 730, 735, 736, 791, 915, 1014, 1035, 1036, 1105, 1140, 1155, 1160, 1161, 1309, 1325, 1380, 1504, 1625, 1665, 1694
Offset: 1

Views

Author

Ilya Gutkovskiy, Nov 18 2019

Keywords

Crossrefs

Cf. A005894, A132366, A322468, A322610, A329635, A329636.

A321450 Numbers that are sums of consecutive pentagonal pyramidal numbers (A002411).

Original entry on oeis.org

0, 1, 6, 7, 18, 24, 25, 40, 58, 64, 65, 75, 115, 126, 133, 139, 140, 196, 201, 241, 259, 265, 266, 288, 322, 397, 405, 437, 455, 461, 462, 484, 550, 610, 685, 693, 725, 726, 743, 749, 750, 889, 936, 955, 1015, 1090, 1130, 1148, 1154, 1155, 1183, 1243, 1276, 1439
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 21 2018

Keywords

Links

Crossrefs

Cf. A001296, A002411, A319184, A322468, A322479, A322638, A322651, A322652, A322653.

A322651 Numbers that are sums of consecutive hexagonal pyramidal numbers (A002412).

Original entry on oeis.org

0, 1, 7, 8, 22, 29, 30, 50, 72, 79, 80, 95, 145, 161, 167, 174, 175, 252, 256, 306, 328, 335, 336, 372, 413, 508, 525, 558, 580, 587, 588, 624, 715, 785, 880, 897, 930, 946, 952, 959, 960, 1149, 1222, 1240, 1310, 1405, 1455, 1477, 1484, 1485, 1547, 1612, 1661, 1864, 1925
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 21 2018

Keywords

Links

Crossrefs

Cf. A002412, A002417, A152043, A319185, A321450, A322468, A322479, A322652, A322653.

A322652 Numbers that are sums of consecutive heptagonal pyramidal numbers (A002413).

Original entry on oeis.org

0, 1, 8, 9, 26, 34, 35, 60, 86, 94, 95, 115, 175, 196, 201, 209, 210, 308, 311, 371, 397, 405, 406, 456, 504, 619, 645, 679, 705, 713, 714, 764, 880, 960, 1075, 1101, 1135, 1161, 1166, 1169, 1170, 1409, 1508, 1525, 1605, 1720, 1780, 1806, 1814, 1815, 1911, 1981, 2046, 2289, 2380
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 21 2018

Keywords

Links

Crossrefs

Cf. A002413, A002418, A321450, A322468, A322479, A322636, A322640, A322651, A322653.

Programs

  • Mathematica
    imax = 55;
A002413 = LinearRecurrence[{4, -6, 4, -1}, {1, 8, 26, 60}, imax];
Join[{0}, Table[A002413[[i ;; j]] // Total, {i, 1, imax}, {j, i, imax}] // Flatten // Union][[;; imax]] (* Jean-François Alcover, Nov 11 2024 *)

A322653 Numbers that are sums of consecutive octagonal pyramidal numbers (A002414).

Original entry on oeis.org

0, 1, 9, 10, 30, 39, 40, 70, 100, 109, 110, 135, 205, 231, 235, 244, 245, 364, 366, 436, 466, 475, 476, 540, 595, 730, 765, 800, 830, 839, 840, 904, 1045, 1135, 1270, 1305, 1340, 1370, 1379, 1380, 1386, 1669, 1794, 1810, 1900, 2035, 2105, 2135, 2144, 2145, 2275, 2350, 2431, 2714
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 21 2018

Keywords

Links

Crossrefs

Cf. A002414, A002419, A320728, A321450, A322468, A322479, A322637, A322651, A322652.

A329072 Numbers that are sums of consecutive octahedral numbers (A005900).

Original entry on oeis.org

0, 1, 6, 7, 19, 25, 26, 44, 63, 69, 70, 85, 129, 146, 148, 154, 155, 231, 275, 294, 300, 301, 344, 377, 462, 489, 506, 525, 531, 532, 575, 670, 721, 806, 833, 850, 869, 875, 876, 891, 1064, 1156, 1159, 1210, 1295, 1339, 1358, 1364, 1365, 1469, 1503, 1561, 1734
Offset: 1

Views

Author

Ilya Gutkovskiy, Nov 18 2019

Keywords

Links

Crossrefs

Cf. A005900, A006325, A217843, A322468, A322479, A329597, A329599.

A329597 Numbers that are sums of consecutive icosahedral numbers (A006564).

Original entry on oeis.org

0, 1, 12, 13, 48, 60, 61, 124, 172, 184, 185, 255, 379, 427, 439, 440, 456, 711, 742, 835, 883, 895, 896, 1128, 1198, 1453, 1577, 1625, 1629, 1637, 1638, 1870, 2260, 2326, 2581, 2705, 2753, 2757, 2765, 2766, 3036, 3499, 3889, 3955, 3972, 4210, 4334, 4382, 4394, 4395
Offset: 1

Views

Author

Ilya Gutkovskiy, Nov 18 2019

Keywords

Crossrefs

Cf. A006564, A217843, A302560, A322468, A329072, A329599.

A329599 Numbers that are sums of consecutive dodecahedral numbers (A006566).

Original entry on oeis.org

0, 1, 20, 21, 84, 104, 105, 220, 304, 324, 325, 455, 675, 759, 779, 780, 816, 1271, 1330, 1491, 1575, 1595, 1596, 2024, 2146, 2601, 2821, 2905, 2925, 2926, 3354, 4060, 4170, 4625, 4845, 4929, 4949, 4950, 5456, 6279, 6985, 7095, 7140, 7550, 7770, 7854, 7874, 7875, 9009, 9139, 9516
Offset: 1

Views

Author

Ilya Gutkovskiy, Nov 18 2019

Keywords

Crossrefs

Cf. A006566, A116689, A217843, A322468, A329072, A329597.
Showing 1-10 of 10 results.

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