OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..434
DLMF Digital library of mathematical functions, Table 18.9.1 for H_n(x)
Simon Plouffe, Conjectures of the OEIS, as of June 20, 2018.
FORMULA
E.g.f.: exp(-x*(121*x-15)). - Simon Plouffe, Jun 22 2018
From G. C. Greubel, Jul 11 2018: (Start)
a(n) = 11^n * Hermite(n, 15/22).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(15/11)^(n-2*k)/(k!*(n-2*k)!)). (End)
D-finite with recurrence a(n) -15*a(n-1) +242*(n-1)*a(n-2)=0. [DLMF] - R. J. Mathar, Feb 06 2021
MATHEMATICA
Numerator[Table[HermiteH[n, 15/22], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, Jun 22 2011 *)
Table[11^n*HermiteH[n, 15/22], {n, 0, 30}] (* G. C. Greubel, Jul 11 2018 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 15/22)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(15/11)^(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