A013422 E.g.f.: arcsin(arcsin(x)-tanh(x)) (odd coefficients only).

0, 3, -7, 497, 10649, 955757, 167741741, 20817188849, 5637483533393, 1653225944489237, 560689820639903957, 269465649695982142009, 138258119776900090716601, 87774869737967098700912797, 65239835100565334768577561149, 54460490625029012562328972397057

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..100

Formula

a(n) = (2n+1) * [x^(2n+1)] arcsin(arcsin(x)-tanh(x)).

Example

arcsin(arcsin(x)-tanh(x)) = 3/3!*x^3-7/5!*x^5+497/7!*x^7+10649/9!*x^9... .

Maple

egf:= arcsin(arcsin(x)-tanh(x)):
a:= n-> (2*n+1)!*coeff(series(egf, x, 2*n+3), x, (2*n+1)):
seq(a(n), n=0..20);  # Alois P. Heinz, Mar 06 2013

Mathematica

With[{nn=30}, Take[CoefficientList[Series[ArcSin[ArcSin[x]-Tanh[x]], {x, 0, nn}], x]Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Mar 06 2013 *)

Crossrefs

Sequence in context: A281889 A086559 A013426 * A013424 A013423 A199365

Adjacent sequences: A013419 A013420 A013421 * A013423 A013424 A013425

Keyword

sign

Author

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

Extensions

More terms from Harvey P. Dale, Mar 06 2013

Status

approved