A096720 Denominators of terms in series expansion of arctan(arcsin(x)).

1, 6, 120, 5040, 362880, 13305600, 2075673600, 435891456000, 13173608448000, 13516122267648000, 5676771352412160000, 2872446304320552960000, 14243535393325056000000, 241974876675963381350400000, 949196134593634133606400000, 20303305318957834117840896000000, 4288058083363894565687997235200000

Offset: 0

Author

N. J. A. Sloane, Aug 15 2004

Keywords

• nonn
• frac

Examples

			arctan(arcsin(x)) = x - 1/6*x^3 + 13/120*x^5 - 173/5040*x^7 + 12409/362880*x^9 - 123379/13305600*x^11 + ...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A096719, A096718, A096664, A096671, A096712, A096716, A045688, A045689.

Programs

Mathematica

Denominator[Take[CoefficientList[Series[ArcTan[ArcSin[x]],{x,0,40}],x] ,{2,-1,2}]] (* Harvey P. Dale, May 04 2013 *)