A029860 Euler transform of 4 3 2 1 1 1 1 1 1 1 ...

1, 4, 13, 34, 80, 171, 344, 654, 1193, 2096, 3573, 5926, 9605, 15243, 23752, 36394, 54938, 81794, 120271, 174812, 251412, 358022, 505210, 706836, 981091, 1351589, 1848981, 2512695, 3393405, 4555755, 6082106, 8076723, 10671405, 14031845, 18365995, 23933610

Offset

0,2

Links

Table of n, a(n) for n=0..35.

N. J. A. Sloane, Transforms

Formula

a(n) ~ exp(Pi*sqrt(2*n/3)) * 3*sqrt(3)*n^2 / (2*Pi^6). - Vaclav Kotesovec, May 31 2019

Mathematica

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

Crossrefs

Cf. A029859, A029861.

Sequence in context: A135859 A161531 A101946 * A262200 A213578 A212149

Adjacent sequences: A029857 A029858 A029859 * A029861 A029862 A029863

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