A159536 Numerator of Hermite(n, 8/17).

1, 16, -322, -23648, 179980, 57553856, 400719496, -193185260672, -4712275251568, 817892241322240, 37599531719812576, -4125824647325545984, -305071017031777093952, 23735583481341553441792, 2672072957678237939024000, -149315174208164043426596864

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)*(16/17)^(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,8/17],{n,0,50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *)
Table[17^n*HermiteH[n, 8/17], {n,0,30}] (* G. C. Greubel, Jul 09 2018 *)

PARI

a(n)=numerator(polhermite(n,8/17)) \\ Charles R Greathouse IV, Jan 29 2016

Formula

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

a(n) = 17^n * Hermite(n, 8/17).

E.g.f.: exp(16*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(16/17)^(n-2*k)/(k!*(n-2*k)!)). (End)