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%I #20 Sep 08 2022 08:44:37
%S 1,0,-1,3,-14,70,-406,2723,-20684,176100,-1661236,17182143,-193042904,
%T 2335585330,-30176889016,412862112263,-5925850093424,88231921922760,
%U -1341868300356496,20329433614333083,-291715707804107744
%N Expansion of e.g.f.: cos(log(1 + sinh(x))).
%H Vincenzo Librandi, <a href="/A009020/b009020.txt">Table of n, a(n) for n = 0..200</a>
%t With[{nn=20},CoefficientList[Series[Cos[Log[1+Sinh[x]]],{x,0,nn}],x] Range[ 0,nn]!] (* _Harvey P. Dale_, Apr 10 2014 *)
%o (PARI) x='x+O('x^30); Vec(serlaplace(cos(log(1 + sinh(x))))) \\ _G. C. Greubel_, Jul 22 2018
%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Log(1 + Sinh(x))))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 22 2018
%K sign,easy
%O 0,4
%A _R. H. Hardin_
%E Extended with signs by _Olivier Gérard_, Mar 15 1997
%E Definition clarified and Mathematica program replaced by _Harvey P. Dale_, Apr 10 2014