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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

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Last modified April 24 10:01 EDT 2014. Contains 240965 sequences.