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%I #18 Apr 02 2017 01:43:59
%S 0,1,-1,3,-14,71,-466,3553,-30904,303821,-3318856,39897503,-523448144,
%T 7440769571,-113918718096,1868810091853,-32702430873984,
%U 608043493983321,-11970695844343936,248764988012724603,-5441743349749959424
%N Expansion of e.g.f.: tan(log(1+sin(x))).
%H Vaclav Kotesovec, <a href="/A009637/b009637.txt">Table of n, a(n) for n = 0..200</a>
%F a(n) ~ (-1)^(n+1) * n! / (sqrt(2*exp(Pi/2)-1) * (arcsin(1-exp(-Pi/2)))^(n+1)). - _Vaclav Kotesovec_, Feb 02 2015
%t With[{nn=20},CoefficientList[Series[Tan[Log[1+Sin[x]]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Dec 09 2014 *)
%K sign,easy
%O 0,4
%A _R. H. Hardin_
%E Extended with signs by _Olivier Gérard_, Mar 15 1997
%E Definition clarified and prior Mathematica program replaced by _Harvey P. Dale_, Dec 09 2014
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