A350596 Coefficients of the expansion of Sum_{i,j,k>=1} x^(i*j*k)/((1-x^i)*(1-x^j)*(1-x^k)).

1, 6, 15, 34, 54, 96, 130, 196, 255, 349, 417, 570, 652, 823, 954, 1180, 1299, 1602, 1732, 2089, 2280, 2659, 2820, 3375, 3541, 4078, 4321, 4963, 5139, 5970, 6115, 6982, 7233, 8116, 8325, 9544, 9634, 10780, 11040, 12385, 12465, 14091, 14071, 15730, 15976, 17596, 17580

Offset

1,2

Links

Table of n, a(n) for n=1..47.

Prog

(PARI) my(N=66, x='x+O('x^N)); Vec(sum(i=1, N, sum(j=1, N\i, sum(k=1, N\(i*j), x^(i*j*k)/((1-x^i)*(1-x^j)*(1-x^k))))))

Crossrefs

Cf. A000005, A191829, A274628.

Sequence in context: A083052 A333959 A265395 * A232604 A332735 A120849

Adjacent sequences: A350593 A350594 A350595 * A350597 A350598 A350599

Keyword

nonn

Author

Seiichi Manyama, Jan 08 2022

Status

approved