A318481 Expansion of Product_{i>=1, j>=1, k>=1} 1/(1 - i*j*k*x^(i*j*k)).

1, 1, 7, 16, 64, 133, 465, 1008, 3023, 6695, 18206, 40175, 103229, 225470, 549873, 1194620, 2801742, 6015042, 13686306, 29063919, 64424496, 135362432, 293512852, 610061141, 1298516539, 2670738781, 5591712472, 11388116508, 23499720744, 47403692965, 96564236754

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..500

Mathematica

nmax = 40; CoefficientList[Series[Product[Product[Product[1/(1-i*j*k*x^(i*j*k)), {i, 1, nmax}], {j, 1, nmax}], {k, 1, nmax}], {x, 0, nmax}], x]

Crossrefs

Cf. A006906, A318415.

Cf. A000041, A280540, A318413, A318482.

Sequence in context: A318413 A342873 A183343 * A215180 A309476 A192376

Adjacent sequences: A318478 A318479 A318480 * A318482 A318483 A318484

Keyword

nonn

Author

Vaclav Kotesovec, Aug 27 2018

Status

approved