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E.g.f: log(1+sinh(x)*sin(x))/2 (even powers only).
0

%I #15 Mar 01 2019 16:29:26

%S 0,1,-6,116,-4816,342736,-37272576,5748462656,-1193465153536,

%T 320935235205376,-108513125117853696,45057835625375568896,

%U -22540295648947188269056,13370560809273727964041216

%N E.g.f: log(1+sinh(x)*sin(x))/2 (even powers only).

%e 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 +- ... .

%t 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 *)

%Y Cf. A009359.

%K sign

%O 0,3

%A _R. H. Hardin_

%E Extended with signs, Mar 1997

%E Prior Mathematica program replaced by _Harvey P. Dale_, Mar 01 2019