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A349066
a(n) = H(2*n, n), where H(n,x) is n-th Hermite polynomial.
3
1, 2, 76, 14136, 5324432, 3275529760, 2982971060928, 3773262142004096, 6332628384952750336, 13620318069121988018688, 36536710970888029776972800, 119598502032157660592768038912, 469232422933986002753883881312256, 2173747962477936168042899607178059776
OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, Hermite Polynomial.
Wikipedia, Hermite polynomial.
FORMULA
a(n) ~ exp(-1) * 2^(2*n) * n^(2*n).
MAPLE
a:= n-> simplify(HermiteH(2*n, n)):
seq(a(n), n=0..20); # Alois P. Heinz, Nov 07 2021
MATHEMATICA
Table[HermiteH[2*n, n], {n, 0, 15}]
PROG
(PARI) a(n) = polhermite(2*n, n); \\ Michel Marcus, Nov 07 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 07 2021
STATUS
approved