OFFSET
1,2
FORMULA
a(n) ~ c * (2 + sqrt(3))^(sqrt(3)*n*(n+1)) * n^(4*n^2 - 1) / exp(6*n^2 - Pi*n*(n+1)/2), where c = 0.219927317102868518491484945565471919409874745762951216457178735860943437...
MATHEMATICA
Table[Product[Product[i^4 - i^2*j^2 + j^4, {i, 1, n}], {j, 1, n}], {n, 1, 10}]
PROG
(Python)
from math import prod, factorial
def A367668(n): return (prod((k:=j**2)**2+(m:=i**2)*(m-k) for i in range(1, n) for j in range(i+1, n+1))*factorial(n)**2)**2 # Chai Wah Wu, Nov 26 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 26 2023
STATUS
approved