A012750 - OEIS

A012750

exp(arctanh(x)*sinh(x)) = 1+2/2!*x^2+24/4!*x^4+670/6!*x^6+34664/8!*x^8...

1, 2, 24, 670, 34664, 2889898, 355793636, 60839374622, 13810040271408, 4019737531147986, 1460034627147106108, 647382654230985522694, 344160751932393939417288, 216083913094173247176675386

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OFFSET

0,2

LINKS

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

FORMULA

a(n) ~ 2 * (2*n-1)! * (4*n)^(sinh(1)/2) / GAMMA(sinh(1)/2). - Vaclav Kotesovec, Oct 24 2013

MATHEMATICA

Table[n!*SeriesCoefficient[Exp[ArcTanh[x]*Sinh[x]], {x, 0, n}], {n, 0, 40, 2}] (* Vaclav Kotesovec, Oct 24 2013 *)

CROSSREFS

Sequence in context: A012216 A012118 A012375 * A174997 A009750 A030438

Adjacent sequences: A012747 A012748 A012749 * A012751 A012752 A012753

KEYWORD

nonn

AUTHOR

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

STATUS

approved