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 A012185 Expansion of e.g.f.: exp(arctan(sin(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+16/5!*x^5... 0

%I

%S 1,1,1,-2,-11,16,301,-272,-16631,256,1543801,1758208,-216765251,

%T -549115904,42924800101,178127730688,-11404529749871,-68157333438464,

%U 3916428205369201,31349506823815168,-1688780438764074491

%N Expansion of e.g.f.: exp(arctan(sin(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+16/5!*x^5...

%F E.g.f.: 1 + 2*sin(x)/(Q(0)-sin(x)), where Q(k) = 4*k+2 + (sin(x))^2*(4*k^2+8*k+5)/Q(k+1) ; (continued fraction). - _Sergei N. Gladkovskii_, Dec 18 2013

%t With[{nn=20},CoefficientList[Series[Exp[ArcTan[Sin[x]]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Jan 28 2015 *)

%K sign

%O 0,4

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

%E Definition clarified by _Harvey P. Dale_, Jan 28 2015

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Last modified February 19 20:17 EST 2019. Contains 320328 sequences. (Running on oeis4.)