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Expansion of e.g.f.: cos(arctan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+13/4!*x^4-20/5!*x^5...
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%I #6 May 20 2021 13:47:28

%S 1,0,-4,6,13,-20,-550,1470,23965,-91800,-1736800,5533550,261341425,

%T -1560159900,-32046389050,113528073750,10312454985625,-82637650862000,

%U -1992440583581500,7977656452281750

%N Expansion of e.g.f.: cos(arctan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+13/4!*x^4-20/5!*x^5...

%t With[{nn=20},CoefficientList[Series[Cos[ArcTan[x]+Log[x+1]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, May 20 2021 *)

%K sign

%O 0,3

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

%E Definition clarified by _Harvey P. Dale_, May 20 2021