A299212 Expansion of 1/(1 - x*Product_{k>=1} 1/(1 + x^k)^k).

1, 1, 0, -2, -5, -4, 4, 21, 35, 23, -47, -165, -239, -78, 479, 1273, 1508, -138, -4429, -9451, -8845, 6207, 37937, 67123, 45144, -83355, -308078, -455109, -166872, 873799, 2393041, 2916869, -73472, -8133572, -17828640, -17294146, 10383571, 70275162, 127401305, 90368779, -147825714

Offset

0,4

Links

Table of n, a(n) for n=0..40.

N. J. A. Sloane, Transforms

Formula

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

a(0) = 1; a(n) = Sum_{k=1..n} A255528(k-1)*a(n-k).

Mathematica

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

Crossrefs

Antidiagonal sums of A279928.

Cf. A067687, A255528, A299105, A299106, A299108, A299162, A299164, A299166, A299167, A299208, A299209, A299210, A299211.

Sequence in context: A335566 A231730 A095758 * A249018 A235052 A102066

Adjacent sequences: A299209 A299210 A299211 * A299213 A299214 A299215

Keyword

sign

Author

Ilya Gutkovskiy, Feb 05 2018

Status

approved