A282327 Expansion of exp( Sum_{n>=1} sigma_3(2*n)*x^n/n ) in powers of x.

1, 9, 77, 534, 3320, 18933, 100770, 506697, 2428161, 11161765, 49469005, 212246744, 884491121, 3589900607, 14223638534, 55122970206, 209307080221, 779837798559, 2854660220661, 10278494869342, 36439277959593, 127311828611819, 438712861233581

Offset: 0

Author

Seiichi Manyama, Mar 03 2017

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. exp( Sum_{n>=1} sigma_k(2*n)*x^n/n ): A182818 (k=1), A283224 (k=2), this sequence (k=3).

Cf. exp( Sum_{n>=1} sigma_3(m*n)*x^n/n ): A023871 (m=1), this sequence (m=2), A283244 (m=3).

Formula

a(n) = (1/n)*Sum_{k=1..n} sigma_3(2*k)*a(n-k). - Seiichi Manyama, Mar 04 2017