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 A293565 E.g.f.: Product_{m>=0} exp(-x^(3*m+1)). 1
 1, -1, 1, -1, -23, 119, -359, -4201, 58801, -359857, -2121839, 74851919, -784376999, -1072414201, 192596540137, -3167640042841, 9241215940321, 860635956717599, -21290802661288799, 157132294452113183, 5980504635868174921, -220612220726623344361 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS FORMULA E.g.f.: exp(x/(x^3 - 1)). MATHEMATICA CoefficientList[Series[E^(x/(x^3 - 1)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Oct 13 2017 *) PROG (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x/(x^3-1)))) (PARI) N=66; x='x+O('x^N); Vec(serlaplace(1/prod(m=0, N, exp(x^(3*m+1))))) CROSSREFS E.g.f.: Product_{m>=0} exp(-x^(k*m+1)): A293116 (k=1), A293532 (k=2), this sequence (k=3), A293566 (k=4). Cf. A293493. Sequence in context: A303411 A069756 A337751 * A099068 A220408 A044355 Adjacent sequences:  A293562 A293563 A293564 * A293566 A293567 A293568 KEYWORD sign AUTHOR Seiichi Manyama, Oct 12 2017 STATUS approved

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Last modified December 4 19:40 EST 2021. Contains 349526 sequences. (Running on oeis4.)