A013543 Numerator of the coefficient [x^(2n+1)] of the Taylor series arcsinh(cosec(x) - coth(x)).

-1, 55, -95, 18167, -22118287, 51054985, -10169116451, 211416785949641, -36975734097804001, 764839113579826244863, -45988950723178614316250507, 61286790868827586032169553, -25771544562210083470157315437

Offset

0,2

Links

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

Example

-x/6 + 55*x^3/1296 - 95*x^5/145152 + 18167*x^7/31352832 - ...

Mathematica

Numerator[Take[CoefficientList[Series[ArcSinh[Csc[x] - Coth[x]], {x, 0, 26}], x], {2, -1, 2}]] (* G. C. Greubel, Nov 13 2016 *)

Crossrefs

Sequence in context: A128880 A039596 A377872 * A115377 A146145 A044144

Adjacent sequences: A013540 A013541 A013542 * A013544 A013545 A013546

Keyword

sign,frac

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Extensions

Name edited by R. J. Mathar, Dec 21 2011

Status

approved