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.

A323533 a(n) = Product_{k=1..n} (binomial(k-1,5) + binomial(n-k,5)).

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%I A323533 #11 Jan 17 2019 07:19:58
%S A323533 1,0,0,0,0,0,0,0,0,0,790420571136,100389735898841088,
%T A323533 14582663231533605863424,2458550581659926554038239232,
%U A323533 529554691027323329170207744475136,146980847512952623091566575072055001088,53003014923687519392206631372837133989462016
%N A323533 a(n) = Product_{k=1..n} (binomial(k-1,5) + binomial(n-k,5)).
%F A323533 a(n) ~ exp((1 + 2*Pi*sqrt(5 - 2/sqrt(5))/5) * (n-5)) * n^(5*n) / (exp(5*n)*120^n).
%t A323533 Table[Product[Binomial[k-1,5] + Binomial[n-k,5], {k, 1, n}], {n, 0, 20}]
%o A323533 (PARI) a(n) = prod(k=1, n, binomial(k-1,5) + binomial(n-k,5)); \\ _Michel Marcus_, Jan 17 2019
%Y A323533 Cf. A000389, A323425, A323496, A323497, A323534, A323535.
%K A323533 nonn
%O A323533 0,11
%A A323533 _Vaclav Kotesovec_, Jan 17 2019