OFFSET
0,2
LINKS
T. D. Noe, Table of n, a(n) for n = 0..100
FORMULA
From G. C. Greubel, Jun 08 2018: (Start)
a(n) = 11^n * Hermite(n,1/11).
E.g.f.: exp(2*x-121*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/11)^(n-2k)/(k!*(n-2k)!). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 1/11], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 12 2011 *)
PROG
(PARI) a(n)=polhermite(n, 1/11)*11^n \\ Charles R Greathouse IV, Jun 20 2012
(PARI) a(n)=numerator(polhermite(n, 1/11)) \\ G. C. Greubel, Jun 08 2018
(Python)
from sympy import hermite
def a(n): return hermite(n, 1/11)*11**n # Indranil Ghosh, May 26 2017
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(2/22)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 08 2018
CROSSREFS
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved