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Expansion of e.g.f.: exp(arcsin(x)-arcsinh(x))=1+2/3!*x^3+40/6!*x^6+450/7!*x^7+2240/9!*x^9...
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%I #6 Dec 11 2017 12:05:09

%S 1,0,0,2,0,0,40,450,0,2240,108000,1786050,246400,30888000,1647734400,

%T 36567781250,11531520000,1356752592000,85195294912000,

%U 2380490964101250,1210714801920000,153377369153840000

%N Expansion of e.g.f.: exp(arcsin(x)-arcsinh(x))=1+2/3!*x^3+40/6!*x^6+450/7!*x^7+2240/9!*x^9...

%t With[{nn=30},CoefficientList[Series[Exp[ArcSin[x]-ArcSinh[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Dec 11 2017 *)

%K nonn

%O 0,4

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

%E Definition clarified by _Harvey P. Dale_, Dec 11 2017