A322479 Numbers that are sums of consecutive square pyramidal numbers.

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

1,3

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.

Sequence in context: A359329 A308839 A099330 * A309480 A180686 A308822

Adjacent sequences: A322476 A322477 A322478 * A322480 A322481 A322482

Keyword

nonn

Author

Ilya Gutkovskiy, Dec 19 2018

Status

approved