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 A293568 E.g.f.: exp(x^3/(x^4 - 1)). 1
 1, 0, 0, -6, 0, 0, 360, -5040, 0, -60480, 3628800, -39916800, 19958400, -3113510400, 130767436800, -1318571654400, 3487131648000, -355687428096000, 12813639597158400, -126713646259200000, 1013709170073600000, -85161707377883136000, 2819368492175499264000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA E.g.f.: Product_{k>0} exp(x^(-(4*k-1))). MATHEMATICA With[{nn=30}, CoefficientList[Series[Exp[x^3/(x^4-1)], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, Dec 31 2020 *) PROG (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x^3/(x^4-1)))) (PARI) N=66; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, exp(x^(4*k-1))))) CROSSREFS E.g.f.: Product_{k>0} exp(x^(-(m*k-1))): A293532 (m=2), A293567 (m=3), this sequence (m=4). Cf. A293526. Sequence in context: A230787 A101109 A293526 * A192072 A060297 A240315 Adjacent sequences:  A293565 A293566 A293567 * A293569 A293570 A293571 KEYWORD sign AUTHOR Seiichi Manyama, Oct 12 2017 STATUS approved

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Last modified January 27 05:30 EST 2021. Contains 340451 sequences. (Running on oeis4.)