A318482 Expansion of Product_{i>=1, j>=1, k>=1} (1 + i*j*k*x^(i*j*k)).

1, 1, 6, 15, 45, 105, 302, 668, 1664, 3830, 8793, 19350, 43265, 92552, 198418, 418128, 869999, 1787964, 3651028, 7353349, 14697367, 29139447, 57225893, 111572329, 216001937, 415000057, 792008753, 1502559866, 2831393559, 5305614223, 9885825732, 18318165218

Offset

0,3

Links

Table of n, a(n) for n=0..31.

Mathematica

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

Crossrefs

Cf. A022629, A318416.

Cf. A000009, A280541, A318414, A318481.

Sequence in context: A182420 A117961 A327769 * A095122 A215917 A082637

Adjacent sequences: A318479 A318480 A318481 * A318483 A318484 A318485

Keyword

nonn

Author

Vaclav Kotesovec, Aug 27 2018

Status

approved