OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..435
DLMF Digital library of mathematical functions, Table 18.9.1 for H_n(x)
FORMULA
From Vincenzo Librandi, Jan 20 2017: (Start)
Conjecture: E.g.f.: exp(-x*(121*x-3)).
D-finite with recurrence a(n) = 3*a(n-1) - 242*(n-1)*a(n-2). [DLMF] Corrected Feb 06 2021 (End)
EXAMPLE
Numerators of 1, 3/11, -233/121, -2151/1331, 162705/14641, ...
MATHEMATICA
Numerator/@HermiteH[Range[0, 20], 3/22] (* Harvey P. Dale, May 01 2011 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 3/22)) \\ Charles R Greathouse IV, Jan 29 2016
(SageMath) [numerator(hermite(n, 3/22)) for n in range(20)] # Bruno Berselli, Jan 19 2017
(Maxima) makelist(num(hermite(n, 3/22)), n, 0, 20); /* Bruno Berselli, Jan 19 2017 */
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(3/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, May 21 2018
CROSSREFS
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved