A012784 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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

(list; graph; refs; listen; history; text; internal format)

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