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Search: a322468 -id:a322468
Displaying 1-10 of 10 results found. page 1
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A322479 Numbers that are sums of consecutive square pyramidal numbers. +10
7
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Table of n, a(n) for n=1..59.
Eric Weisstein's World of Mathematics, Square Pyramidal Number
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 *)
CROSSREFS
Cf. A000330, A034705, A322468.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 19 2018
STATUS
approved
A322610 Numbers that are sums (of a nonempty sequence) of consecutive centered triangular numbers. +10
7
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Table of n, a(n) for n=1..63.
Eric Weisstein's World of Mathematics, Centered Triangular Number
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 *)
CROSSREFS
Cf. A005448, A005918 (2 consec), A006003, A034706, A320728, A322468, A322611, A322638, A322640.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 20 2018
STATUS
approved
A329634 Numbers that are sums of consecutive centered tetrahedral numbers (A005894). +10
4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Table of n, a(n) for n=1..56.
CROSSREFS
Cf. A005894, A132366, A322468, A322610, A329635, A329636.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Nov 18 2019
STATUS
approved
A321450 Numbers that are sums of consecutive pentagonal pyramidal numbers (A002411). +10
3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Table of n, a(n) for n=1..54.
Eric Weisstein's World of Mathematics, Pentagonal Pyramidal Number
CROSSREFS
Cf. A001296, A002411, A319184, A322468, A322479, A322638, A322651, A322652, A322653.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 21 2018
STATUS
approved
A322651 Numbers that are sums of consecutive hexagonal pyramidal numbers (A002412). +10
3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Table of n, a(n) for n=1..55.
Eric Weisstein's World of Mathematics, Hexagonal Pyramidal Number
CROSSREFS
Cf. A002412, A002417, A152043, A319185, A321450, A322468, A322479, A322652, A322653.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 21 2018
STATUS
approved
A322652 Numbers that are sums of consecutive heptagonal pyramidal numbers (A002413). +10
3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Table of n, a(n) for n=1..55.
Eric Weisstein's World of Mathematics, Heptagonal Pyramidal Number
CROSSREFS
Cf. A002413, A002418, A321450, A322468, A322479, A322636, A322640, A322651, A322653.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 21 2018
STATUS
approved
A322653 Numbers that are sums of consecutive octagonal pyramidal numbers (A002414). +10
3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Table of n, a(n) for n=1..54.
Eric Weisstein's World of Mathematics, Pyramidal Number
CROSSREFS
Cf. A002414, A002419, A320728, A321450, A322468, A322479, A322637, A322651, A322652.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 21 2018
STATUS
approved
A329072 Numbers that are sums of consecutive octahedral numbers (A005900). +10
3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Table of n, a(n) for n=1..53.
Eric Weisstein's World of Mathematics, Octahedral Number
CROSSREFS
Cf. A005900, A006325, A217843, A322468, A322479, A329597, A329599.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Nov 18 2019
STATUS
approved
A329597 Numbers that are sums of consecutive icosahedral numbers (A006564). +10
3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Table of n, a(n) for n=1..50.
CROSSREFS
Cf. A006564, A217843, A302560, A322468, A329072, A329599.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Nov 18 2019
STATUS
approved
A329599 Numbers that are sums of consecutive dodecahedral numbers (A006566). +10
3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Table of n, a(n) for n=1..51.
CROSSREFS
Cf. A006566, A116689, A217843, A322468, A329072, A329597.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Nov 18 2019
STATUS
approved
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Last modified August 29 08:01 EDT 2024. Contains 375510 sequences. (Running on oeis4.)