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A293568
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E.g.f.: exp(x^3/(x^4 - 1)).
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1
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1, 0, 0, -6, 0, 0, 360, -5040, 0, -60480, 3628800, -39916800, 19958400, -3113510400, 130767436800, -1318571654400, 3487131648000, -355687428096000, 12813639597158400, -126713646259200000, 1013709170073600000, -85161707377883136000, 2819368492175499264000
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OFFSET
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0,4
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LINKS
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FORMULA
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E.g.f.: Product_{k>0} exp(x^(-(4*k-1))).
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MATHEMATICA
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With[{nn=30}, CoefficientList[Series[Exp[x^3/(x^4-1)], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, Dec 31 2020 *)
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PROG
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(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)))))
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CROSSREFS
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E.g.f.: Product_{k>0} exp(x^(-(m*k-1))): A293532 (m=2), A293567 (m=3), this sequence (m=4).
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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