OFFSET
0,2
COMMENTS
In general, for k>=1, H(n,k*n) ~ exp(-1/(4*k^2)) * (2*k)^n * n^n.
LINKS
Eric Weisstein's World of Mathematics, Hermite Polynomial.
Wikipedia, Hermite polynomial.
FORMULA
a(n) ~ exp(-1/36) * 6^n * n^n.
MAPLE
a:= n-> simplify(HermiteH(n, 3*n)):
seq(a(n), n=0..20); # Alois P. Heinz, Nov 07 2021
MATHEMATICA
Table[HermiteH[n, 3*n], {n, 0, 20}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 07 2021
STATUS
approved