A159533 Numerator of Hermite(n, 5/17).

1, 10, -478, -16340, 665452, 44432600, -1478830280, -168880559600, 4294541716880, 823849124759200, -14101714763617760, -4902865088744353600, 40630051579638182080, 34412572771327218390400, 38831520143870883754880, -278078223664141142377568000

Offset: 0

Author

N. J. A. Sloane, Nov 12 2009

Keywords

• sign
• frac

Links

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

Crossrefs

Cf. A159529, A159530.

Programs

Magma

[Numerator((&+[(-1)^k*Factorial(n)*(10/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 09 2018

Mathematica

Numerator[Table[HermiteH[n,5/17],{n,0,50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *)
Table[17^n*HermiteH[n, 5/17], {n,0,30}] (* G. C. Greubel, Jul 09 2018 *)

PARI

a(n)=numerator(polhermite(n,5/17)) \\ Charles R Greathouse IV, Jan 29 2016

Formula

From G. C. Greubel, Jul 09 2018: (Start)

a(n) = 17^n * Hermite(n, 5/17).

E.g.f.: exp(10*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(10/17)^(n-2*k)/(k!*(n-2*k)!)). (End)