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

1, 3, 353736000, 4795587079853800623303366670123008000000

Offset

0,2

Comments

Next term is too long to be included.

Links

Table of n, a(n) for n=0..3.

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...

Mathematica

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

Crossrefs

Cf. A306594, A324425, A368723.

Cf. A324426, A368720.

Sequence in context: A058469 A367670 A081508 * A067481 A058433 A154998

Adjacent sequences: A368719 A368720 A368721 * A368723 A368724 A368725

Keyword

nonn

Author

Vaclav Kotesovec, Jan 04 2024

Status

approved