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A013543 Numerator of the coefficient [x^(2n+1)] of the Taylor series arcsinh(cosec(x) - coth(x)). 1
-1, 55, -95, 18167, -22118287, 51054985, -10169116451, 211416785949641, -36975734097804001, 764839113579826244863, -45988950723178614316250507, 61286790868827586032169553, -25771544562210083470157315437 (list; graph; refs; listen; history; text; internal format)
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: A063131 A128880 A039596 * 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

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Last modified May 24 18:18 EDT 2017. Contains 286997 sequences.