A159529 Numerator of Hermite(n, 1/17).

1, 2, -574, -3460, 988396, 9976312, -2836511816, -40270873648, 11395985060240, 209004489868832, -58863905303630816, -1325773762049110592, 371605162396386506944, 9938777138365404080000, -2772363635969717405017216, -85969311875592284625394432, 23864454100106265332248473856

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. A159521.

Programs

Magma

[Numerator((&+[(-1)^k*Factorial(n)*(2/17)^(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,1/17],{n,0,50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *)

PARI

a(n)=numerator(polhermite(n,1/17)) \\ Charles R Greathouse IV, Jan 29 2016

Formula

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

a(n) = 17^n * Hermite(n,1/17).

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

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