A012784 arcsin(sec(x)*arcsin(x))=x+5/3!*x^3+93/5!*x^5+4545/7!*x^7+443065/9!*x^9...

1, 5, 93, 4545, 443065, 72439325, 17846988885, 6173626900441, 2852644920170097, 1696726612682937781, 1262481961197490093645, 1148731484660194718055025, 1254736888520332652127806761

Offset

0,2

Links

Table of n, a(n) for n=0..12.

Mathematica

With[{nn=30}, Take[CoefficientList[Series[ArcSin[Sec[x]ArcSin[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Jan 12 2017 *)

Crossrefs

Sequence in context: A270408 A000365 A209471 * A136097 A015030 A270071

Adjacent sequences: A012781 A012782 A012783 * A012785 A012786 A012787

Keyword

nonn

Author

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

Status

approved