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A283244 Expansion of exp( Sum_{n>=1} sigma_3(3*n)*x^n/n ) in powers of x. 2
1, 28, 518, 7439, 90517, 972398, 9472190, 85145743, 715281840, 5668682493, 42691867112, 307312234334, 2124355701646, 14157081285263, 91250293831492, 570441761053192, 3466874635995098, 20526329624103412, 118608374492197651, 669949478060261642 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 9 12:53 EDT 2022. Contains 356026 sequences. (Running on oeis4.)