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Expansion of tan(log(1+x))/exp(x).
0

%I #13 Jun 22 2015 22:46:46

%S 0,1,-3,10,-44,255,-1841,15818,-156960,1762709,-22076535,304867506,

%T -4600188108,75280188035,-1327718893749,25103478695090,

%U -506480711742496,10860420245412873,-246630317697276235,5912837973247721914

%N Expansion of tan(log(1+x))/exp(x).

%F a(n) ~ n! * (-1)^(n+1) * exp(1-exp(-Pi/2)) / ((exp(Pi/2)-1) * (1-exp(-Pi/2))^n). - _Vaclav Kotesovec_, Jan 23 2015

%t Tan[ Log[ 1+x ] ]/Exp[ x ]

%t CoefficientList[Series[Tan[Log[1 + x]]/E^x, {x, 0, 20}], x] * Range[0, 20]! (* _Vaclav Kotesovec_, Jan 23 2015 *)

%K sign,easy

%O 0,3

%A _R. H. Hardin_

%E Extended with signs by _Olivier GĂ©rard_, Mar 15 1997