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
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
More terms from Harvey P. Dale, Mar 06 2013
STATUS
approved