A029861 Euler transform of 5 4 3 2 1 1 1 1 1 1 1 ...

1, 5, 19, 58, 157, 384, 875, 1875, 3828, 7491, 14147, 25886, 46084, 80040, 135996, 226502, 370492, 596064, 944557, 1475983, 2276771, 3470030, 5229835, 7800045, 11520003, 16858149, 24457202, 35192852, 50251566, 71230985, 100271453, 140224607, 194871974

Offset

0,2

Links

Table of n, a(n) for n=0..32.

N. J. A. Sloane, Transforms

Formula

a(n) ~ exp(Pi*sqrt(2*n/3)) * 9*sqrt(3)*n^4 / (4*Pi^10). - Vaclav Kotesovec, May 31 2019

Mathematica

nmax = 50; CoefficientList[Series[1/((1-x)^4*(1-x^2)^3*(1-x^3)^2*(1-x^4)) * Product[1/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, May 31 2019 *)

Crossrefs

Cf. A029859, A029860.

Sequence in context: A327821 A201082 A109415 * A224034 A107179 A332720

Adjacent sequences: A029858 A029859 A029860 * A029862 A029863 A029864

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

a(0) = 1 prepended by Vaclav Kotesovec, May 31 2019

More terms from Vaclav Kotesovec, May 31 2019

Status

approved