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.

A122802 Number of labeled bipartite graphs on n vertices with no isolated vertices.

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%I A122802 #6 Nov 07 2019 21:08:28
%S A122802 1,0,1,6,29,510,5032,161406,3294405,194342910,7934652356,881008805886,
%T A122802 71275547085536,15178191426486270,2434250064518832302,
%U A122802 1008694542117649154046,321680912414994434144165,262063364967549826752315390,166681427053102507699172431372
%N A122802 Number of labeled bipartite graphs on n vertices with no isolated vertices.
%H A122802 Andrew Howroyd, <a href="/A122802/b122802.txt">Table of n, a(n) for n = 0..50</a>
%F A122802 a(2n+1) = A052332(2n+1); a(2n) = A052332(2n) - A122801(n) for n > 0.
%o A122802 (PARI) a(n)={sum(k=0, n, binomial(n, k)*(2^k-2)^(n-k)) - if(n%2==0&&n>0, binomial(n-1, n/2)*sum(k=0, n/2, binomial(n/2, k)*(-1)^k*(2^(n/2-k)-1)^(n/2)))} \\ _Andrew Howroyd_, Nov 07 2019
%Y A122802 Cf. A122801, A052332, A001831, A002031, A047863.
%K A122802 nonn
%O A122802 0,4
%A A122802 _Max Alekseyev_, Sep 11 2006
%E A122802 Terms a(17) and beyond from _Andrew Howroyd_, Nov 07 2019