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
Links
- G. C. Greubel, Table of n, a(n) for n = 0..404
Programs
-
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
-
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 *) -
PARI
a(n)=numerator(polhermite(n,11/17)) \\ Charles R Greathouse IV, Jan 29 2016
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)