A159539 Numerator of Hermite(n, 11/17).

1, 22, -94, -27500, -442004, 53855912, 2462221624, -132603427088, -12879424086640, 329810916948832, 74254604271575584, -272705805989586112, -478110301690448457536, -8626939166846096792960, 3402728145231415580480384, 144669210933209758019200768

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, 11/17).

E.g.f.: exp(22*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(22/17)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 11/17], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Table[17^n*HermiteH[n, 11/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 11/17)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(22/17)^(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. A159537, A159538.

Sequence in context: A230357 A145769 A256152 * A178999 A272378 A026909

Adjacent sequences: A159536 A159537 A159538 * A159540 A159541 A159542

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved