A381709 Euler transform of n^3 * A065960(n).
1, 1, 137, 2351, 29075, 408429, 5957562, 76590384, 955079422, 11831378688, 142650905559, 1668991927795, 19144774189917, 215790313316371, 2388025355854986, 25973791505651972, 278176027053878678, 2936495245822593766, 30573379794788083289, 314185573464039742503
Offset: 0
Keywords
Programs
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PARI
my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, sigma(k^2, 4)*x^k/k)))
Formula
G.f.: 1/Product_{k>=1} (1 - x^k)^(k^3 * A065960(k)).
G.f.: exp( Sum_{k>=1} sigma_4(k^2) * x^k/k ).
a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} sigma_4(k^2) * a(n-k).