A368722 a(n) = Product_{i=1..n, j=1..n, k=1..n} (i^3 + j^3 + k^3).

1, 3, 353736000, 4795587079853800623303366670123008000000

Offset: 0

Author

Vaclav Kotesovec, Jan 04 2024

Keywords

• nonn

Comments

Next term is too long to be included.

Crossrefs

Cf. A306594, A324425, A368723.

Cf. A324426, A368720.

Programs

Mathematica

Table[Product[i^3 + j^3 + k^3, {i, 1, n}, {j, 1, n}, {k, 1, n}], {n, 0, 5}]

Formula

Limit_{n->oo} a(n)^(1/(n^3)) / n^3 = exp(Integral_{x=0..1, y=0..1, z=0..1} log(x^3 + y^3 + z^3) dz dy dx) = 0.5334736919092639993380174031245...