OFFSET
0,3
COMMENTS
Is this the same as A227545 (at least for n>=1)?
LINKS
Eric Weisstein's World of Mathematics, Hermite Polynomial.
Wikipedia, Hermite polynomials.
FORMULA
a(n) = |H_n((1+i)/2)|^2 / 2^n = H_n((1+i)/2) * H_n((1-i)/2) / 2^n, where H_n(x) is n-th Hermite polynomial, i = sqrt(-1).
D-finite with recurrence: (n+1)*(n+2)*(a(n) - n^2*a(n-1)) + (2*n^2+7*n+6)*a(n+1) + a(n+2) = a(n+3).
a(n) ~ n^n * exp(sqrt(2*n)-n) / 2. - Vaclav Kotesovec, Oct 14 2016
MATHEMATICA
Table[Abs[HermiteH[n, (1 + I)/2]]^2/2^n, {n, 0, 20}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Reshetnikov, Oct 11 2016
STATUS
approved