A096718 Denominators of terms in series expansion of arcsin(arctan(x)).

1, 6, 120, 5040, 362880, 4435200, 32947200, 145297152000, 69701632000, 13516122267648000, 5676771352412160000, 2872446304320552960000, 1723467782592331776000000, 1935799013407707050803200, 485144691014524112732160000, 1353553687930522274522726400000, 204193242064947360270857011200000

Offset

0,2

Links

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

Example

arcsin(arctan(x)) = x - 1/6*x^3 + 13/120*x^5 - 341/5040*x^7 + 18649/362880*x^9 - 177761/4435200*x^11 + ...

Mathematica

Denominator[Take[CoefficientList[Series[ArcSin[ArcTan[x]], {x, 0, 40}], x], {2, -1, 2}]] (* G. C. Greubel, Nov 17 2016 *)

Crossrefs

Cf. A096717, A096664, A096671, A096712, A096716, A045688, A045689, A096721, A096722.

Sequence in context: A126448 A126446 A057003 * A096720 A354333 A009445

Adjacent sequences: A096715 A096716 A096717 * A096719 A096720 A096721

Keyword

nonn,frac

Author

N. J. A. Sloane, Aug 15 2004

Status

approved