OFFSET
0,2
COMMENTS
In general, for k>=1, H(k*n,n) ~ exp(-k^2/4) * 2^(k*n) * n^(k*n).
LINKS
Eric Weisstein's World of Mathematics, Hermite Polynomial.
Wikipedia, Hermite polynomial.
FORMULA
a(n) ~ exp(-9/4) * 2^(3*n) * n^(3*n).
MAPLE
a:= n-> simplify(HermiteH(3*n, n)):
seq(a(n), n=0..20); # Alois P. Heinz, Nov 07 2021
MATHEMATICA
Table[HermiteH[3*n, n], {n, 0, 12}]
PROG
(PARI) a(n) = polhermite(3*n, n); \\ Michel Marcus, Nov 07 2021
CROSSREFS
KEYWORD
sign
AUTHOR
Vaclav Kotesovec, Nov 07 2021
STATUS
approved