A159537 Numerator of Hermite(n, 9/17).

1, 18, -254, -25380, -16404, 58383288, 1098306744, -182703721392, -7732416071280, 705638518433568, 52925521734602784, -3125931245323172928, -392767229604421613376, 14611648984681938387840, 3214262644971898893888384, -60380735974552065344410368

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..404

Formula

From G. C. Greubel, Jul 02 2018: (Start)

a(n) = 17^n * Hermite(n, 9/17).

E.g.f.: exp(18*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(18/17)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 9/17], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Table[17^n*HermiteH[n, 9/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 9/17)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(18/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 02 2018

Crossrefs

Cf. A159534, A159535, A159536.

Sequence in context: A016175 A062141 A157708 * A136660 A362808 A365137

Adjacent sequences: A159534 A159535 A159536 * A159538 A159539 A159540

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved