A012789 - OEIS

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A012789

arcsinh(sec(x)*arcsin(x))=x+3/3!*x^3+13/5!*x^5+7/7!*x^7+5465/9!*x^9...

1, 3, 13, 7, 5465, 978923, 85275045, 6907939183, 1989186790065, 849732569279059, 291378385380567613, 103124375038834822231, 54929709590807595546121, 39029092314830559489826107

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

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..13.

MATHEMATICA

With[{nn=30}, Take[CoefficientList[Series[ArcSinh[Sec[x]ArcSin[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, May 02 2014 *)

CROSSREFS

Sequence in context: A320039 A242173 A186109 * A273025 A273122 A071708

Adjacent sequences: A012786 A012787 A012788 * A012790 A012791 A012792

KEYWORD

nonn

AUTHOR

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

STATUS

approved