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%I #15 Sep 08 2022 08:44:37
%S 1,0,-1,3,-6,10,-6,-77,724,-5220,36364,-259457,1933704,-15161250,
%T 125278984,-1090268137,9973751184,-95650827080,958577301104,
%U -10001308630117,108164953941664,-1206196891901710,13774788612312224
%N Expansion of cos(log(1 + sin(x))).
%H G. C. Greubel, <a href="/A009019/b009019.txt">Table of n, a(n) for n = 0..250</a>
%t With[{nmax = 30}, CoefficientList[Series[Cos[Log[1 + Sin[x]]], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Jul 21 2018 *)
%o (PARI) x='x+O('x^30); Vec(serlaplace(cos(log(1+sin(x))))) \\ _G. C. Greubel_, Jul 21 2018
%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Log(1 + Sin(x))))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 21 2018
%K sign,easy
%O 0,4
%A _R. H. Hardin_
%E Extended with signs by _Olivier Gérard_, Mar 15 1997