A096721 Numerators of terms in series expansion of arcsin(arctan(x)) - arctan(arcsin(x)).

0, 0, 0, -1, 13, -2329, 3749, -1405132357, 41223659, -3230487913, 87420689313263, -92876785811395309, 6545378422138547141, -76226954122169434345117, 13717355610784766550119, -152042860419225571514252591, 325359516347299085987218014617, -501994552683503696983628163720749, 226141284010354023120430917899293

Offset

0,5

Links

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

Example

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 + ...

Mathematica

With[{nn=40}, Numerator[Take[CoefficientList[Series[ArcSin[ArcTan[x]] - ArcTan[ArcSin[x]], {x, 0, nn}], x], {2, -1, 2}]]] (* Harvey P. Dale, Dec 07 2011 *)

Crossrefs

Cf. A096722, A096717, A096718, A096664, A096671, A096712, A096716, A045688, A045689, A096719, A096720.

Sequence in context: A141077 A202517 A221901 * A301466 A229267 A350308

Adjacent sequences: A096718 A096719 A096720 * A096722 A096723 A096724

Keyword

sign,frac

Author

N. J. A. Sloane, Aug 15 2004

Status

approved