A367927 - OEIS

%I #6 Dec 05 2023 05:01:19

%S 1,2,320,9856080,111411200000000,758912215744345000000000,

%T 4641055652546245989752776320614400000,

%U 35539706227151665491451514343890494014992000000000000,453355203871266077337924186645041169745278527392553369600000000000000000

%N a(n) = Product_{k=1..n} (n^2 + k^2)^k.

%F a(n) ~ 2^(n^2 + n/2 + 1/12) * n^(n*(n+1)) / exp(n^2/2 - 1/12).

%t Table[Product[(k^2 + n^2)^k, {k, 1, n}], {n, 0, 10}]

%Y Cf. A272244.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Dec 05 2023