login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A013536 Numerators of coefficients in Taylor series expansion of exp(cosec(x)-cotanh(x)). 4
1, -1, 1, 53, -215, 3341, 199159, 391337, -4128623, 710371933, 257347648013, 6178130243, -111384981593, 225570264096917, 1407269115959761, 1546226961439379, 69849267671401979, 5665951032145572087083, 467410556088873329284747, -1602619428542796266047, 429563383515510620615310131, 218332153959703843484481031721 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

EXAMPLE

1 -1/6*x+1/72*x^2 +53/1296*x^3 -215/31104*x^4 +3341/6531840*x^5 +199159/235146240*x^6 +...

MAPLE

t1:=exp(csc(x)-coth(x));

t2:=series(t1, x, 30);

t3:=seriestolist(t2);

t4:=map(numer, t3); t5:=map(denom, t3); lprint(t2);

MATHEMATICA

Numerator[CoefficientList[Series[Exp[Csc[x]-Coth[x]], {x, 0, 30}], x]](* N. J. A. Sloane, Feb 28 2014 *)

CROSSREFS

Cf. A202382.

Sequence in context: A005146 A158644 A158656 * A142000 A053652 A142316

Adjacent sequences:  A013533 A013534 A013535 * A013537 A013538 A013539

KEYWORD

sign,frac

AUTHOR

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

EXTENSIONS

Corrected by N. J. A. Sloane, Dec 18 2011, based on discussions on the Sequence Fans Mailing List, Dec 13-17 2011.

Mathematica program modified by Harvey P. Dale, Feb 28 2014

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 13:08 EST 2021. Contains 349581 sequences. (Running on oeis4.)