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

0,3

Links

Table of n, a(n) for n=0..19.

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).

Prog

(PARI) my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, sigma(k^2, 4)*x^k/k)))

Crossrefs

Cf. A156303, A156733, A381170.

Cf. A023872, A065960, A381679.

Sequence in context: A215864 A190307 A094488 * A221346 A138348 A278175

Adjacent sequences: A381706 A381707 A381708 * A381710 A381711 A381712

Keyword

nonn

Author

Seiichi Manyama, Mar 04 2025

Status

approved