A159530 Numerator of Hermite(n, 2/17).

1, 4, -562, -6872, 947020, 19676144, -2658183224, -78869600288, 10439530923152, 406451155424320, -52680635240539424, -2560010219314727296, 324703437982090748608, 19055044633095311519488, -2363601454465048638962560, -163647826988867455371547136

Offset: 0

Author

N. J. A. Sloane, Nov 12 2009

Keywords

• sign
• frac
• changed

Links

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

Crossrefs

The denominators are the powers of 17, A001026.

Cf. A159521, A159529.

Programs

Magma

[Numerator((&+[(-1)^k*Factorial(n)*(4/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 09 2018

Mathematica

Numerator[Table[HermiteH[n,2/17],{n,0,50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *)

PARI

/* needs version >= 2.4 */
A159530(n)=numerator(polhermite(n,2/17)); /* Joerg Arndt, Apr 30 2011 */

Formula

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

a(n) = 17^n * Hermite(n,2/17).

E.g.f.: exp(4*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(4/17)^(n-2*k)/(k!*(n-2*k)!)). (End)