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A283271 Expansion of exp( Sum_{n>=1} -sigma_5(n)*x^n/n ) in powers of x. 9
1, -1, -16, -65, -55, 807, 4809, 13135, 550, -169070, -862710, -2281174, -1221309, 20194565, 114391575, 346400092, 486546751, -1239516671, -11089537215, -41702958960, -93143227027, -45337210750, 674845109986, 3682196642725, 11405949184465, 20796945542222 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

FORMULA

G.f.: Product_{n>=1} (1 - x^n)^(n^4).

a(n) = -(1/n)*Sum_{k=1..n} sigma_5(k)*a(n-k).

CROSSREFS

Column k=4 of A283272.

Cf. A023873 (exp( Sum_{n>=1} sigma_5(n)*x^n/n )).

Cf. exp( Sum_{n>=1} -sigma_k(n)*x^n/n ): A010815 (k=1), A073592 (k=2), A283263 (k=3), A283264 (k=4), this sequence (k=5).

Sequence in context: A330824 A189806 A222748 * A031446 A294584 A041492

Adjacent sequences:  A283268 A283269 A283270 * A283272 A283273 A283274

KEYWORD

sign

AUTHOR

Seiichi Manyama, Mar 04 2017

STATUS

approved

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Last modified September 28 21:47 EDT 2020. Contains 337414 sequences. (Running on oeis4.)