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A013431 E.g.f.: -arcsin(arcsin(x) - arctanh(x)) (odd powers only). 0
0, 1, 15, 495, 29575, 2805075, 387547875, 73496998575, 18322452939375, 5810121991600875, 2283796491396190875, 1089828106992320070375, 620645663306405750934375, 415796249727049685923771875, 323721378608985101109612121875, 289840773808099328924207553609375 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

-arcsin(arcsin(x) - arctanh(x)) = 1/3!*x^3 + 15/5!*x^5 + 495/7!*x^7 + 29575/9!*x^9 + ...

MATHEMATICA

With[{nn=30}, -Take[CoefficientList[Series[ArcSin[ArcSin[x]-ArcTanh[x]], {x, 0, nn}], x] Range[0, nn-1]!, {4, -1, 2}]] (* Harvey P. Dale, Mar 28 2013 *)

PROG

(PARI)

N = 2*66;  x = 'x + O('x^N);

egf = -asin(asin(x) - atanh(x)) + 'c0;

gf = serlaplace(egf);

v = Vec(gf);  v[1]-='c0;

vector(#v\2, n, v[2*n])

/* Joerg Arndt, Mar 29 2013 */

CROSSREFS

Sequence in context: A013433 A013435 A151816 * A013432 A285765 A287070

Adjacent sequences:  A013428 A013429 A013430 * A013432 A013433 A013434

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified December 1 20:17 EST 2021. Contains 349432 sequences. (Running on oeis4.)