A012497 sin(cos(x)*arctan(x))=x-6/3!*x^3+100/5!*x^5-4256/7!*x^7+302352/9!*x^9...

1, -6, 100, -4256, 302352, -32245664, 4879093440, -996485811712, 264232448010496, -88283645811756544, 36292696703112000512, -18004529956099757727744, 10606618572326341265592320

Offset

0,2

Links

Table of n, a(n) for n=0..12.

Mathematica

With[{nn=30}, Take[CoefficientList[Series[Sin[Cos[x]ArcTan[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Apr 17 2025 *)

Crossrefs

Sequence in context: A291837 A214381 A078629 * A012690 A196693 A196726

Adjacent sequences: A012494 A012495 A012496 * A012498 A012499 A012500

Keyword

sign

Author

Patrick Demichel

Status

approved