A299209 Expansion of 1/(1 - x*Product_{k>=1} (1 - k*x^k)).

1, 1, 0, -3, -6, -5, 11, 37, 59, 13, -155, -402, -415, 263, 1981, 3748, 2289, -6643, -22642, -31322, -187, 99040, 229410, 216823, -230029, -1223267, -2097812, -955237, 4468902, 13393758, 16752461, -3891704, -62382597, -131974181, -106680562, 173622424, 741553622, 1163057561, 329176545

Offset

0,4

Links

Table of n, a(n) for n=0..38.

N. J. A. Sloane, Transforms

Formula

G.f.: 1/(1 - x*Product_{k>=1} (1 - k*x^k)).

a(0) = 1; a(n) = Sum_{k=1..n} A022661(k-1)*a(n-k).

Mathematica

nmax = 38; CoefficientList[Series[1/(1 - x Product[1 - k x^k, {k, 1, nmax}]), {x, 0, nmax}], x]

Crossrefs

Antidiagonal sums of A297323.

Cf. A022661, A067687, A299105, A299106, A299108, A299162, A299164, A299166, A299167, A299208, A299210, A299211, A299212.

Sequence in context: A160049 A096620 A331124 * A007479 A076535 A349102

Adjacent sequences: A299206 A299207 A299208 * A299210 A299211 A299212

Keyword

sign

Author

Ilya Gutkovskiy, Feb 05 2018

Status

approved