A368720 a(n) = Product_{j=1..n, k=1..n} (j^3 + k^3 + n^3).

1, 3, 69360, 1522177267723200, 391047538356893112890665992192000, 6785985430272886334677590546861463643140253138288640000000

Offset

0,2

Links

Table of n, a(n) for n=0..5.

Formula

Limit_{n->oo} a(n)^(1/(n^2)) / n^3 = exp(Integral_{x=0..1, y=0..1} log(x^3 + y^3 + 1) dy dx) = 1.4501318426779115107161463152054835452511102493859148975306452...

Mathematica

Table[Product[j^3 + k^3 + n^3, {j, 1, n}, {k, 1, n}], {n, 0, 6}]

Crossrefs

Cf. A368685, A368622, A368721.

Cf. A324426, A368722.

Sequence in context: A340182 A367550 A178966 * A175551 A230719 A213000

Adjacent sequences: A368717 A368718 A368719 * A368721 A368722 A368723

Keyword

nonn

Author

Vaclav Kotesovec, Jan 04 2024

Status

approved