A013431 E.g.f.: -arcsin(arcsin(x) - arctanh(x)) (odd powers only).

0, 1, 15, 495, 29575, 2805075, 387547875, 73496998575, 18322452939375, 5810121991600875, 2283796491396190875, 1089828106992320070375, 620645663306405750934375, 415796249727049685923771875, 323721378608985101109612121875, 289840773808099328924207553609375

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