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A013336 Expansion of e.g.f.: arctanh(exp(x)-sec(x)). 0

%I

%S 0,1,0,3,-4,45,-180,1743,-13704,135705,-1613160,18065883,-276222604,

%T 3655783365,-65652672540,1034667581223,-20865280018704,

%U 387014665823025,-8593188683674320,184059142857923763,-4464138375366282004,108277288526211374685,-2858191345505462554500

%N Expansion of e.g.f.: arctanh(exp(x)-sec(x)).

%e x + (3/3!)*x^3 - (4/4!)*x^4 + (45/5!)*x^5 - (180/6!)*x^6 + (1743/7!)*x^7 - ...

%t With[{nn=20},CoefficientList[Series[ArcTanh[Exp[x]-Sec[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Oct 11 2014 *)

%K sign

%O 0,4

%A Patrick Demichel (patrick.demichel(AT)hp.com)

%E Definition clarified and zero prepended by _Harvey P. Dale_, Oct 11 2014

%E Name edited by _Michel Marcus_, Sep 01 2019

%E More terms from _Petros Hadjicostas_, Sep 01 2019

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Last modified September 17 09:00 EDT 2021. Contains 347478 sequences. (Running on oeis4.)