A009382 - OEIS

%I #22 Jan 24 2015 11:02:20

%S 0,1,-3,13,-74,565,-5318,60163,-792504,11933945,-202119498,3803708863,

%T -78738133484,1778090543125,-43499376725678,1146033155079163,

%U -32350004720613264,974047813919045105,-31161267745173747858

%N Expansion of e.g.f.: log(1+tan(x)/exp(x)).

%H Vincenzo Librandi, <a href="/A009382/b009382.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) ~ (n-1)! * (-1)^(n+1) / r^n, where r = 0.5313908566521572046202664406047153136830749994... is the root of the equation exp(-r) = tan(r). - _Vaclav Kotesovec_, Jan 24 2015

%t With[{nn=20},CoefficientList[Series[Log[1+Tan[x]/Exp[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Apr 22 2014 *)

%K sign,easy

%O 0,3

%A _R. H. Hardin_

%E Extended with signs by _Olivier Gérard_, Mar 15 1997

%E Prior Mathematica program replaced and definition clarified by _Harvey P. Dale_, Apr 22 2014