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A012647 sin(arcsinh(x)*sinh(x))=2/2!*x^2-80/6!*x^6-1344/8!*x^8+14848/10!*x^10... 0
0, 2, 0, -80, -1344, 14848, -478720, 233089792, -40950956032, 10897158856704, -3658314845569024, 1494490439452852224, -737151399778288664576, 431277629004040408989696, -295401420454303808123568128 (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) * cos(sin(1)*Pi/2) * sin(1) * 2^(2*n) * n^(2*n-1) / exp(2*n). - Vaclav Kotesovec, Nov 01 2013

MATHEMATICA

Table[n!*SeriesCoefficient[Sin[ArcSinh[x]*Sinh[x]], {x, 0, n}], {n, 0, 40, 2}] (* Vaclav Kotesovec, Nov 01 2013 *)

CROSSREFS

Sequence in context: A335692 A215880 A030129 * A012334 A012451 A012447

Adjacent sequences: A012644 A012645 A012646 * A012648 A012649 A012650

KEYWORD

sign

AUTHOR

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

EXTENSIONS

Prepended missing a(0)=0 from Vaclav Kotesovec, Nov 01 2013

STATUS

approved

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Last modified February 2 21:10 EST 2023. Contains 360024 sequences. (Running on oeis4.)