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Expansion of e.g.f.: tan(log(1+x))*log(1+x).
1

%I #18 Jun 22 2015 22:47:43

%S 0,0,2,-6,30,-180,1324,-11424,113376,-1271232,15889280,-218989760,

%T 3298513600,-53897151360,949389619840,-17931842342400,361486218406400,

%U -7746121344512000,175813073606092800,-4213227577441536000

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

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

%t With[{nn=20},CoefficientList[Series[Tan[Log[1+x]]*Log[1+x],{x,0,nn}],x]Range[0,nn]!] (* _Harvey P. Dale_, Aug 16 2012 *)

%K sign,easy

%O 0,3

%A _R. H. Hardin_

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

%E Definition clarified by _Harvey P. Dale_, Aug 16 2012