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 A298988 a(n) = [x^n] Product_{k>=1} 1/(1 + n*x^k)^k. 4
 1, -1, 0, -18, 208, -2400, 36504, -663754, 13808320, -324176418, 8487126400, -245122390601, 7741417124880, -265402847130421, 9816338228638872, -389618889514254225, 16518399076342421248, -745025763154442071130, 35619835529954597786208, -1799459812004380374518790, 95780758238408017088795600 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA a(n) ~ (-1)^n * n^n * (1 - 2/n + 6/n^2 - 14/n^3 + 33/n^4 - 70/n^5 + 149/n^6 - 298/n^7 + 591/n^8 - 1132/n^9 + 2139/n^10 + ...), for coefficients, see A005380. - Vaclav Kotesovec, Aug 21 2018 MATHEMATICA Table[SeriesCoefficient[Product[1/(1 + n x^k)^k, {k, 1, n}], {x, 0, n}], {n, 0, 20}] CROSSREFS Cf. A255528, A261566, A261567, A266971, A292134, A297326, A298985, A298986, A298987. Sequence in context: A022742 A055528 A304202 * A025959 A229270 A261484 Adjacent sequences:  A298985 A298986 A298987 * A298989 A298990 A298991 KEYWORD sign AUTHOR Ilya Gutkovskiy, Jan 31 2018 STATUS approved

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Last modified July 17 20:45 EDT 2019. Contains 325109 sequences. (Running on oeis4.)