A368722 - OEIS

%I #8 Jan 06 2024 14:05:58

%S 1,3,353736000,4795587079853800623303366670123008000000

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

%C Next term is too long to be included.

%F 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...

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

%Y Cf. A306594, A324425, A368723.

%Y Cf. A324426, A368720.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Jan 04 2024