A283244 Expansion of exp( Sum_{n>=1} sigma_3(3*n)*x^n/n ) in powers of x.

1, 28, 518, 7439, 90517, 972398, 9472190, 85145743, 715281840, 5668682493, 42691867112, 307312234334, 2124355701646, 14157081285263, 91250293831492, 570441761053192, 3466874635995098, 20526329624103412, 118608374492197651, 669949478060261642

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(3*n)*x^n/n ): A182819 (k=1), A283238 (k=2), this sequence (k=3).

Cf. exp( Sum_{n>=1} sigma_3(m*n)*x^n/n ): A023871 (m=1), A282327 (m=2), this sequence (m=3).

Formula

a(n) = (1/n)*Sum_{k=1..n} sigma_3(3*k)*a(n-k). - Seiichi Manyama, Mar 04 2017