A381714 - OEIS

A381714

Euler transform of n^2 * A381713(n).

1, 1, 293, 7106, 124636, 2507807, 53728922, 975224769, 17336813339, 308906655193, 5324331825516, 88599795614719, 1449812221707335, 23313054134280890, 367282089624429463, 5682414281863178845, 86571519001530856417, 1299264182863131989813

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

FORMULA

G.f.: 1/Product(k>=1} (1 - x^k)^(k^2 * A381713(k)).

G.f.: exp( Sum_{k>=1} sigma_3(k^3) * x^k/k ).

a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} sigma_3(k^3) * a(n-k).

PROG

(PARI) my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, sigma(k^3, 3)*x^k/k)))

CROSSREFS

Cf. A156304, A381712.

Cf. A381713.

Sequence in context: A241047 A085502 A108828 * A239825 A145206 A153579

Adjacent sequences: A381709 A381712 A381713 * A381720 A381722 A381724

KEYWORD

nonn,new

AUTHOR

Seiichi Manyama, Mar 05 2025

STATUS

approved