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

0,2

Links

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

Formula

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

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).

Sequence in context: A276754 A075608 A330630 * A263471 A266125 A290708

Adjacent sequences: A282324 A282325 A282326 * A282328 A282329 A282330

Keyword

nonn

Author

Seiichi Manyama, Mar 03 2017

Status

approved