A024275 E.g.f: log(1+sinh(x)*sin(x))/2 (even powers only).
0, 1, -6, 116, -4816, 342736, -37272576, 5748462656, -1193465153536, 320935235205376, -108513125117853696, 45057835625375568896, -22540295648947188269056, 13370560809273727964041216
Offset: 0
Keywords
Examples
log(1+sinh(x)*sin(x))/2 = 0 + 1/2*x^2 - 1/4*x^4 + 29/180*x^6 - 43/360*x^8 + 21421/226800*x^10 +- ... .
Crossrefs
Cf. A009359.
Programs
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Mathematica
With[{nn=30},Take[CoefficientList[Series[Log[1+Sinh[x]*Sin[x]]/2,{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* Harvey P. Dale, Mar 01 2019 *)
Extensions
Extended with signs, Mar 1997
Prior Mathematica program replaced by Harvey P. Dale, Mar 01 2019