OFFSET
0,1
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..50
FORMULA
a(n) = (4*n+2)! * [2^(4*n+2)] arcsin(arcsinh(x)*arcsin(x)).
MAPLE
b:= n-> n!* coeff(series(arcsin(arcsinh(x)*arcsin(x)), x, n+1 ), x, n):
a:= n-> b(4*n+2):
seq (a(n), n=0..10); # Alois P. Heinz, Aug 20 2012
MATHEMATICA
With[{nn=40}, Take[CoefficientList[Series[ArcSin[ArcSinh[x]ArcSin[x]], {x, 0, nn}], x]Range[0, nn-2]!, {3, -1, 4}]] (* Harvey P. Dale, Aug 20 2012 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
More terms from and definition clarified by Harvey P. Dale, Aug 20 2012
STATUS
approved