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%I #25 Aug 09 2015 15:31:57
%S 0,1,1,1,0,0,-5,5,-56,224,-1441,9029,-64592,497068,-4153357,37288173,
%T -358469008,3672613632,-39954165153,459970973037,-5587015067704,
%U 71405586701516,-957909748415229,13458304798985221,-197627582943979080
%N E.g.f. log(1+sin(x))*exp(x).
%H Matthew House, <a href="/A009334/b009334.txt">Table of n, a(n) for n = 0..486</a>
%F a(n) ~ (n-1)! * (-1)^(n+1) * 2^(n+1) / (exp(Pi/2) * Pi^n). - _Vaclav Kotesovec_, Jan 23 2015
%F a(n) = Sum_{j=0..n-1}(-1)^j*binomial(n,j+1)*A000111(j). - _Robert Israel_, Aug 06 2015
%p S:= series(log(1+sin(x))*exp(x), x, 101):
%p seq(coeff(S,x,j)*j!,j=0..100); # _Robert Israel_, Aug 06 2015
%t CoefficientList[Series[E^x*Log[1 + Sin[x]], {x, 0, 20}], x] * Range[0, 20]! (* _Vaclav Kotesovec_, Jan 23 2015 *)
%Y Cf. A000111.
%K sign,easy
%O 0,7
%A _R. H. Hardin_
%E Extended with signs by _Olivier Gérard_, Mar 15 1997