cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A375839 a(n) = Product_{k=0..n} (k^2 + n).

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%I A375839 #9 Aug 31 2024 12:59:01
%S A375839 0,2,36,1008,41600,2381400,180457200,17467670528,2100621828096,
%T A375839 306960977700000,53529274174376000,10973787848179200000,
%U A375839 2611472797582941487104,713649909809783275801472,221870902844468552220000000,77837994361783539267010560000
%N A375839 a(n) = Product_{k=0..n} (k^2 + n).
%F A375839 a(n) ~ n^(2*n + 3/2) / exp(2*n - Pi*n^(1/2) + 1).
%t A375839 Table[Product[k^2 + n, {k, 0, n}], {n, 0, 15}]
%t A375839 Round[Table[Sqrt[n] * Gamma[1 - I*Sqrt[n] + n] * Gamma[1 + I*Sqrt[n] + n] * Sinh[Sqrt[n]*Pi] / Pi, {n, 0, 15}]]
%Y A375839 Cf. A156648, A101686.
%Y A375839 Cf. A375840, A375841, A375842, A375843, A375844, A375845.
%K A375839 nonn
%O A375839 0,2
%A A375839 _Vaclav Kotesovec_, Aug 31 2024