A368065 a(n) = Product_{i=1..n, j=1..n} (i^2 + 5*i*j + j^2).

1, 7, 44100, 3210672937500, 12804360424787610000000000, 8591751256288909159255104643281750000000000, 2333034616280404811605303958158227652934766912996000000000000000000

Offset

0,2

Links

Table of n, a(n) for n=0..6.

Formula

a(n) ~ c * 7^(7*n*(n+1)/2) * ((5-sqrt(21))/2)^(sqrt(21)*n*(n+1)/2) * n^(2*n^2 - 4/3) / exp(3*n^2), where c = A368069.

Mathematica

Table[Product[i^2 + 5*i*j + j^2, {i, 1, n}, {j, 1, n}], {n, 0, 7}]

Crossrefs

Cf. A367543, A324403, A367542, A079478^2, A368067, A368064, A368066.

Cf. A368068, A368069.

Sequence in context: A210846 A068251 A033984 * A348643 A123062 A300201

Adjacent sequences: A368062 A368063 A368064 * A368066 A368067 A368068

Keyword

nonn

Author

Vaclav Kotesovec, Dec 10 2023

Status

approved