A301597 Expansion of Product_{k>=1} 1/(1 - x^k)^A050985(k).

1, 1, 3, 6, 13, 24, 48, 86, 153, 275, 479, 817, 1388, 2317, 3831, 6277, 10184, 16367, 26122, 41359, 65016, 101567, 157642, 243232, 373277, 569711, 865164, 1307587, 1967161, 2946379, 4394667, 6528255, 9660197, 14241627, 20920564, 30625556, 44683600, 64984798

Offset: 0

Author

Vaclav Kotesovec, Mar 24 2018

Keywords

• nonn

Comments

Euler transform of A050985.

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A050985, A301596.

Programs

Mathematica

nmax = 40; CoefficientList[Series[Exp[Sum[Sum[k/(Times @@ (#[[1]]^(#[[2]] - Mod[#[[2]], 3]) & ) /@ FactorInteger[k]) * x^(j*k) / j, {k, 1, Floor[nmax/j] + 1}], {j, 1, nmax}]], {x, 0, nmax}], x] (* Vaclav Kotesovec, Mar 31 2018, after Jean-François Alcover *)