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A096722 Denominators of terms in series expansion of arcsin(arctan(x)) - arctan(arcsin(x)). 6

%I

%S 1,1,1,30,756,75600,199584,54486432000,2421619200,151227648000,

%T 5913303492096000,5203707073044480000,512936840057241600000,

%U 5041143264082570444800000,1238175538546596249600000,11695452372671563431936000000,33500453776280426294437478400000,44295044437526341433756221440000000

%N Denominators of terms in series expansion of arcsin(arctan(x)) - arctan(arcsin(x)).

%H G. C. Greubel, <a href="/A096722/b096722.txt">Table of n, a(n) for n = 0..200</a>

%e arcsin(arctan(x)) - arctan(arcsin(x)) = -1/30*x^7 + 13/756*x^9 - 2329/75600*x^11 + 3749/199584*x^13 - 1405132357/54486432000*x^15 + ...

%t Denominator[Take[CoefficientList[Series[ArcSin[ArcTan[x]] - ArcTan[ArcSin[x]], {x,0,40}], x], {2,-1,2}]] (* _G. C. Greubel_, Nov 18 2016 *)

%Y Cf. A096721, A096717, A096718, A096664, A096671, A096712, A096716, A045688, A045689, A096719, A096720.

%K nonn,frac

%O 0,4

%A _N. J. A. Sloane_, Aug 15 2004

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Last modified July 14 18:26 EDT 2020. Contains 335729 sequences. (Running on oeis4.)