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

0,2

Links

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

Example

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

Mathematica

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

Crossrefs

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

Sequence in context: A126446 A057003 A096718 * A354333 A009445 A094273

Adjacent sequences: A096717 A096718 A096719 * A096721 A096722 A096723

Keyword

nonn,frac

Author

N. J. A. Sloane, Aug 15 2004

Status

approved