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A272180 a(n) = Product_{k=0..n} (n^2 + k). 4

%I #9 Apr 23 2016 05:49:14

%S 0,2,120,11880,1860480,427518000,135970773120,57274321104000,

%T 30885807297945600,20759078324729606400,17018214378110225280000,

%U 16716468557742686853120000,19383353274717848149493760000,26198415087179810897268887040000,40828604361516687201839617904640000

%N a(n) = Product_{k=0..n} (n^2 + k).

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

%t Table[Product[n^2 + k, {k, 0, n}], {n, 0, 15}]

%t Table[n^2*Pochhammer[1 + n^2, n], {n, 0, 15}]

%Y Cf. A272163, A272179, A272237, A272238.

%K nonn,easy

%O 0,2

%A _Vaclav Kotesovec_, Apr 21 2016

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Last modified March 29 09:28 EDT 2024. Contains 371268 sequences. (Running on oeis4.)