OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..434
FORMULA
From G. C. Greubel, Jul 11 2018: (Start)
a(n) = 11^n * Hermite(n, 13/22).
E.g.f.: exp(13*x - 121*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(13/11)^(n-2*k)/(k!*(n-2*k)!)). (End)
EXAMPLE
Numerators of 1, 13/11, -73/121, -7241/1331, -41135/14641, ...
MATHEMATICA
Numerator/@Table[HermiteH[n, 13/22], {n, 0, 20}] (* Harvey P. Dale, Apr 16 2011 *)
Table[11^n*HermiteH[n, 13/22], {n, 0, 30}] (* G. C. Greubel, Jul 11 2018 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 13/22)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(13/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 11 2018
CROSSREFS
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved