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E.g.f. log(1+x)/cos(x).
5

%I #22 Apr 01 2017 14:15:08

%S 0,1,-1,5,-12,69,-285,2001,-12208,104073,-854865,8723549,-90552396,

%T 1088372557,-13647385661,190057979177,-2787246189120,44285819490065,

%U -742019231348865,13267464006201781,-249642268776311020

%N E.g.f. log(1+x)/cos(x).

%H Vincenzo Librandi, <a href="/A009429/b009429.txt">Table of n, a(n) for n = 0..200</a>

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

%e log(1+x)/cos(x) = 0 + x - 1/2*x^2 + 5/6*x^3 - 1/2*x^4 + 23/40*x^5 -+ ...

%t With[{nn=30},CoefficientList[Series[Log[1+x]/Cos[x],{x,0,nn}], x] Range[0,nn]!] (* _Harvey P. Dale_, Jan 26 2013 *)

%K sign,easy

%O 0,4

%A _R. H. Hardin_

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