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Expansion of e.g.f.: sinh(log(1+x)/cos(x)).
1

%I #19 Jan 23 2018 05:13:50

%S 0,1,-1,6,-18,135,-795,7266,-62188,669309,-7267005,90797894,

%T -1179693966,16915574299,-254880171455,4143992814482,-70922672184120,

%U 1292106133397017,-24733436584847481,499532815860896038

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

%H G. C. Greubel, <a href="/A009582/b009582.txt">Table of n, a(n) for n = 0..448</a> (terms 0..200 from Vincenzo Librandi)

%t With[{nn=20},CoefficientList[Series[Sinh[Log[1+x]/Cos[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Oct 22 2013 *)

%o (PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(log(1+x)/cos(x))))) \\ _G. C. Greubel_, Jan 22 2018

%K sign,easy

%O 0,4

%A _R. H. Hardin_

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

%E Definition clarified and Mathematica program replaced by _Harvey P. Dale_, Oct 22 2013