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Expansion of e.g.f.: sech(sec(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3-18/4!*x^4+60/5!*x^5...
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%I #6 Apr 17 2016 10:21:40

%S 1,0,-1,3,-18,60,-180,-1050,24192,-308952,3131760,-23742840,62587272,

%T 2606501040,-75839636600,1415140435800,-20144425867712,

%U 187207018203392,730860552463104,-93674690778135744

%N Expansion of e.g.f.: sech(sec(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3-18/4!*x^4+60/5!*x^5...

%t With[{nn=20},CoefficientList[Series[Sech[Sec[x]Log[x+1]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Apr 17 2016 *)

%K sign

%O 0,4

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

%E Definition clarified by _Harvey P. Dale_, Apr 17 2016