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

%I #14 Jun 22 2015 22:47:20

%S 0,1,-1,7,-24,175,-1155,10477,-100968,1147901,-14251005,197307251,

%T -2969362176,48613104059,-856679861583,16197513235945,

%U -326703748009200,7005133086139705,-159063002342367705,3813308579832354079

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

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

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

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

%K sign,easy

%O 0,4

%A _R. H. Hardin_

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