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

Author

Ilya Gutkovskiy, Dec 19 2018

Keywords

• nonn

Links

• Eric Weisstein's World of Mathematics, Square Pyramidal Number

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 *)