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.

A323496 a(n) = Product_{k=1..n} (binomial(k-1,3) + binomial(n-k,3)).

This page as a plain text file.
%I A323496 #13 Jan 17 2019 07:19:47
%S A323496 1,0,0,0,0,0,1600,1280000,1225000000,1487467520000,2342962705305600,
%T A323496 4757234928058368000,12302981968140864000000,
%U A323496 39976163552160000000000000,161025498138224463853824000000,794000312545927932130993635328000,4737527580526919896601692054005760000
%N A323496 a(n) = Product_{k=1..n} (binomial(k-1,3) + binomial(n-k,3)).
%F A323496 a(n) ~ exp(2*Pi*(n-3)/3^(3/2) - 2*n - 3) * n^(3*n) / 6^n.
%t A323496 Table[Product[Binomial[k-1,3] + Binomial[n-k,3], {k, 1, n}], {n, 0, 20}]
%o A323496 (PARI) a(n) = prod(k=1, n, binomial(k-1,3) + binomial(n-k,3)); \\ _Michel Marcus_, Jan 17 2019
%Y A323496 Cf. A000292, A323425, A323497, A323533, A323534, A323535.
%K A323496 nonn
%O A323496 0,7
%A A323496 _Vaclav Kotesovec_, Jan 16 2019