login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A013435 E.g.f.: -arcsinh(arcsin(x)-arctanh(x)) (odd powers only). 0
0, 15, 495, 29015, 2666475, 354343275, 64361872575, 15331195839375, 4639834754377875, 1739923436670397875, 792214640482949058375, 430673843640390204684375, 275621285783640234105646875, 205164378528197702536594546875, 175791115887829825909515376359375 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..15.

EXAMPLE

-arcsinh(arcsin(x)-arctanh(x)) = 0*x^1+1/3!*x^3+15/5!*x^5+495/7!*x^7+29015/9!*x^9...

MATHEMATICA

  With[{nn=30}, Join[{0}, Take[CoefficientList[Series[-ArcSinh[ArcSin[x]- ArcTanh[x]], {x, 0, nn}], x]Range[0, nn-1]!, {6, -1, 2}]]](* Harvey P. Dale, Jul 20 2012 *)

PROG

(PARI)

x='x+O('x^66);

egf=asinh(atanh(x)-asin(x));

v=Vec(serlaplace(egf));

v=vector(#v\2, n, if(n==1, 0, v[2*n-1]))

/* Joerg Arndt, Jul 20 2012 */

CROSSREFS

Sequence in context: A218198 A208624 A013433 * A151816 A013431 A013432

Adjacent sequences:  A013432 A013433 A013434 * A013436 A013437 A013438

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

Definition corrected by Harvey P. Dale, Jul 20 2012

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified December 22 09:14 EST 2014. Contains 252336 sequences.