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.

A102596 Number of n-node labeled oriented graphs whose underlying graphs are mating graphs, cf. A006024.

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%I A102596 #11 May 31 2025 18:38:50
%S A102596 1,1,2,14,396,34748,9281784,7454765736,17754713559696,
%T A102596 124916711439302928,2595833697671445752352,
%U A102596 159598823327470451154007008,29105164897431888477084463394496,15784299558159474546700473641953798080,25515085085573055700779453120708128026732416
%N A102596 Number of n-node labeled oriented graphs whose underlying graphs are mating graphs, cf. A006024.
%H A102596 Andrew Howroyd, <a href="/A102596/b102596.txt">Table of n, a(n) for n = 0..50</a>
%F A102596 a(n) = Sum_{k>=0} 2^k * A369283(n,k). - _Andrew Howroyd_, Jan 20 2024
%o A102596 (PARI) \\ permcount, edges defined in A369283.
%o A102596 a(n) = {my(s=0); forpart(p=n, s += permcount(p)*(-1)^(n-#p)*edges(p, w->1 + 2^w)); s} \\ _Andrew Howroyd_, Jan 20 2024
%Y A102596 Cf. A006024, A102579 (digraphs), A102597 (connected), A102599, A369283.
%K A102596 nonn
%O A102596 0,3
%A A102596 Goran Kilibarda, Zoran Maksimovic, _Vladeta Jovovic_, Jan 22 2005
%E A102596 a(0)=1 prepended and a(13) onwards from _Andrew Howroyd_, Jan 20 2024