The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A013543 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A013543

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

#18 by Michel Marcus at Sun Nov 13 06:56:20 EST 2016

STATUS

reviewed

approved

#17 by Joerg Arndt at Sun Nov 13 06:19:40 EST 2016

STATUS

proposed

reviewed

#16 by Jon E. Schoenfield at Sun Nov 13 04:14:13 EST 2016

STATUS

editing

proposed

#15 by Jon E. Schoenfield at Sun Nov 13 04:14:11 EST 2016

NAME

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

EXAMPLE

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

STATUS

proposed

editing

#14 by Michel Marcus at Sun Nov 13 02:56:15 EST 2016

STATUS

editing

proposed

#13 by Michel Marcus at Sun Nov 13 02:56:11 EST 2016

NAME

Numerator of the coefficient [x^(2n+1)] of the Taylor series arcsinh(cosec(x)-coth(x))= -x/6 +55*x^3/1296 -95*x^5/145152 +18167*x^7/31352832-...

EXAMPLE

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

STATUS

proposed

editing

#12 by G. C. Greubel at Sun Nov 13 02:39:54 EST 2016

STATUS

editing

proposed

#11 by G. C. Greubel at Sun Nov 13 02:39:36 EST 2016

LINKS

G. C. Greubel, <a href="/A013543/b013543.txt">Table of n, a(n) for n = 0..200</a>

MATHEMATICA

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

STATUS

approved

editing

#10 by N. J. A. Sloane at Sat Nov 12 08:10:33 EST 2016

STATUS

proposed

approved

#9 by Jon E. Schoenfield at Fri Nov 11 22:37:25 EST 2016

STATUS

editing

proposed