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A012646 exp(arcsinh(x)*sinh(x))=1+2/2!*x^2+12/4!*x^4+160/6!*x^6+2576/8!*x^8... 0
1, 2, 12, 160, 2576, 95488, 668096, 402731264, -50491782912, 14988492926976, -4720247498150912, 1909488749227393024, -925515319787778355200, 534630384211887797927936, -362170991481315590982090752 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

FORMULA

a(n) ~ (-1)^(n+1) * sin(1) * 2^(2*n) * n^(2*n-1) / exp(2*n + sin(1)*Pi/2). - Vaclav Kotesovec, Nov 01 2013

MATHEMATICA

With[{nn=30}, Take[CoefficientList[Series[Exp[ArcSinh[x]Sinh[x]], {x, 0, nn}], x] Range[0, nn]!, {1, -1, 2}]] (* Harvey P. Dale, May 05 2013 *)

CROSSREFS

Sequence in context: A326222 A330552 A208577 * A177778 A180420 A012328

Adjacent sequences: A012643 A012644 A012645 * A012647 A012648 A012649

KEYWORD

sign

AUTHOR

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

STATUS

approved

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Last modified January 30 09:51 EST 2023. Contains 359943 sequences. (Running on oeis4.)