OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..404
FORMULA
From G. C. Greubel, Jul 09 2018: (Start)
a(n) = 17^n * Hermite(n, 6/17).
E.g.f.: exp(12*x-289*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(12/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 6/17], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *)
Table[17^n*HermiteH[n, 6/17], {n, 0, 30}] (* G. C. Greubel, Jul 09 2018 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 6/17)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(12/17)^(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
CROSSREFS
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved