OFFSET
0,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..710
Vaclav Kotesovec, Plot of a(n+1)/(a(n)*sqrt(n)) for n = 1..10000
Eric Weisstein's World of Mathematics, Hermite Polynomial.
Wikipedia, Hermite polynomials.
EXAMPLE
For n = 5, H_5(x) = 32*x^5 - 160*x^3 + 120*x. The maximal coefficient is 120 (we take signs into account, so -160 < 120), hence a(5) = 120.
MATHEMATICA
Table[Max@CoefficientList[HermiteH[n, x], x], {n, 0, 25}]
PROG
(PARI) a(n) = vecmax(Vec(polhermite(n))); \\ Michel Marcus, Oct 09 2016
(Python)
from sympy import hermite, Poly
def a(n): return max(Poly(hermite(n, x), x).coeffs()) # Indranil Ghosh, May 26 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Reshetnikov, Oct 08 2016
STATUS
approved