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%I #21 Sep 08 2023 04:04:01
%S 0,1,-3,8,-20,59,-261,1665,-12368,99945,-888961,8802045,-96423788,
%T 1154791637,-14982150197,209295667833,-3133083877248,50039962416625,
%U -849332973526881,15266142375582901,-289679348425382572
%N Expansion of e.g.f. log(1+x)/exp(sin(x)).
%H G. C. Greubel, <a href="/A009436/b009436.txt">Table of n, a(n) for n = 0..450</a>
%F a(n) ~ (n-1)! * (-1)^(n+1) * exp(sin(1)). - _Vaclav Kotesovec_, Jan 23 2015
%t With[{m=30}, CoefficientList[Series[Log[1+x]/E^Sin[x], {x,0,m}], x]*Range[0,m]!] (* _Vaclav Kotesovec_, Jan 23 2015 *)
%o (Magma)
%o R<x>:=PowerSeriesRing(Rationals(), 30);
%o [0] cat Coefficients(R!(Laplace( Log(1+x)*Exp(-Sin(x)) ))); // _G. C. Greubel_, Sep 08 2023
%o (SageMath)
%o def A009436_list(prec):
%o P.<x> = PowerSeriesRing(QQ, prec)
%o return P( log(1+x)*exp(-sin(x)) ).egf_to_ogf().list()
%o A009436_list(31) # _G. C. Greubel_, Sep 08 2023
%Y Cf. A009405 - A009420, A009422 - A009435, A009437 - A009439.
%K sign,easy
%O 0,3
%A _R. H. Hardin_
%E Extended with signs by _Olivier Gérard_, Mar 15 1997
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