login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A013542 Numerator of the coefficient [x^(2n+1)] of the Taylor series sinh(cosec(x) - coth(x)). 1

%I

%S -1,53,3341,391337,710371933,6178130243,225570264096917,

%T 1546226961439379,5665951032145572087083,-1602619428542796266047,

%U 218332153959703843484481031721,-149315097238822774731841867

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

%C A bisection of A013536. Denominators appear to be a bisection of A202382.

%H G. C. Greubel, <a href="/A013542/b013542.txt">Table of n, a(n) for n = 0..193</a>

%e -x/6 + 53*x^3/1296 + 3341*x^5/6531840 + 391337*x^7/1410877440 + ...

%t Numerator[Take[CoefficientList[Series[Sinh[Csc[x] - Coth[x]], {x,0,26}], x], {2, -1, 2}]] (* _G. C. Greubel_, Nov 13 2016 *)

%K sign,frac

%O 0,2

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

%E Name edited by _R. J. Mathar_, Dec 21 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 29 09:51 EST 2023. Contains 359915 sequences. (Running on oeis4.)