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A012458 arcsin(arctan(x)^2) = 2/2!*x^2 - 16/4!*x^4 + 488/6!*x^6 - 30336/8!*x^8... 1

%I

%S 2,-16,488,-30336,3303072,-556926720,135234491520,-44790227865600,

%T 19434264780034560,-10703464305128755200,7296385856008015226880,

%U -6031102564833737842851840,5942962739028147945628999680

%N arcsin(arctan(x)^2) = 2/2!*x^2 - 16/4!*x^4 + 488/6!*x^6 - 30336/8!*x^8...

%t With[{nn=30}, Take[CoefficientList[Series[ArcSin[ArcTan[x]^2], {x,0,nn}], x] Range[0,nn]!, {3,-1,2}]] (* _Harvey P. Dale_, Dec 13 2011 *)

%K sign

%O 0,1

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

%E Definition corrected by Harvey P. Dale, Dec 13 2011

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Last modified May 26 20:51 EDT 2022. Contains 354092 sequences. (Running on oeis4.)