A368720 - OEIS

%I #7 Jan 04 2024 08:57:03

%S 1,3,69360,1522177267723200,391047538356893112890665992192000,

%T 6785985430272886334677590546861463643140253138288640000000

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

%F 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...

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

%Y Cf. A368685, A368622, A368721.

%Y Cf. A324426, A368722.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Jan 04 2024