A012502 sinh(cos(x)*arctan(x))=x-4/3!*x^3+1304/7!*x^7-109120/9!*x^9...

1, -4, 0, 1304, -109120, 10816896, -1441841024, 258762139648, -60872480247808, 18224782774259712, -6768839825021124608, 3053776998122900160512, -1644778710545416370094080

Offset

0,2

Links

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

Mathematica

With[{nn=30}, Take[CoefficientList[Series[Sinh[Cos[x]ArcTan[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Jan 24 2026 *)

Crossrefs

Sequence in context: A013453 A012688 A216675 * A130105 A013463 A013464

Adjacent sequences: A012499 A012500 A012501 * A012503 A012504 A012505

Keyword

sign

Author

Patrick Demichel

Status

approved