OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Eric Weisstein's World of Mathematics, Hermite Polynomial.
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
G.f.: -x*(8-32*x-3792*x^2-32*x^3+8*x^4)/(x-1)^6.
a(n) = 6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6).
MATHEMATICA
Table[32 n^5 - 160 n^3 + 120 n, {n, 0, 30}]
PROG
(PARI) a(n)=32*n^5-160*n^3+120*n \\ Charles R Greathouse IV, Oct 07 2015
(Python)
from sympy import hermite
def A247850(n): return hermite(5, n) # Chai Wah Wu, Jan 06 2022
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Vincenzo Librandi, Sep 25 2014
STATUS
approved