A293568 E.g.f.: exp(x^3/(x^4 - 1)).
1, 0, 0, -6, 0, 0, 360, -5040, 0, -60480, 3628800, -39916800, 19958400, -3113510400, 130767436800, -1318571654400, 3487131648000, -355687428096000, 12813639597158400, -126713646259200000, 1013709170073600000, -85161707377883136000, 2819368492175499264000
Offset: 0
Keywords
Crossrefs
Programs
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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 *) -
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)))))
Formula
E.g.f.: Product_{k>0} exp(x^(-(4*k-1))).