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

0,2

Links

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

Formula

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

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).

Sequence in context: A026738 A026149 A028049 * A024442 A026108 A024434

Adjacent sequences: A283241 A283242 A283243 * A283245 A283246 A283247

Keyword

nonn

Author

Seiichi Manyama, Mar 03 2017

Status

approved