This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A013522 Numerator of [x^(2n+1)] in the Taylor expansion sinh(cosec(x)-cotan(x))= x/2 +x^3/16 +37*x^5/3840 +137*x^7/92160 +41641*x^9/185794560 + 3887*x^11/117964800 +... 1
 1, 1, 37, 137, 41641, 3887, 241586893, 5721418891, 4315903789009, 2832484672207, 183184249105857781, 2154299222076719401, 1431144441595717024523, 386845480523042818420133 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Apparently a bisection of A047691. The numerators in the e.g.f. of x/2, sinh(cosec(x)-cotan(x)) = x/(2^1*1!) +3*x^3/(2^3*3!) +37*x^5/(2^5*5!) +959*x^7/(2^7*7!) +41641*x^9/(2^9*9!)+.. are apparently covered by the absolute values of A003717. LINKS G. C. Greubel, Table of n, a(n) for n = 0..200 MATHEMATICA Take[CoefficientList[Series[Sinh[Csc[x] - Cot[x]], {x, 0, 45}], x], {2, -1, 2}]] (* G. C. Greubel, Nov 12 2016 *) CROSSREFS Sequence in context: A044750 A141936 A244768 * A142498 A158591 A262318 Adjacent sequences:  A013519 A013520 A013521 * A013523 A013524 A013525 KEYWORD nonn,frac AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) EXTENSIONS Name edited by R. J. Mathar, Dec 19 2011 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.

Last modified December 6 07:00 EST 2019. Contains 329784 sequences. (Running on oeis4.)