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.

A069831 Number of graphical partitions of simple Eulerian graphs (partitions given by the degrees of vertices of simple (no loops or multiple edges) graphs having only vertices of even degrees) having n edges.

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%I A069831 #6 May 25 2024 23:47:48
%S A069831 1,0,0,1,1,1,2,3,3,5,8,10,13,16,22,29,36,45,61,74,95,118,152,183,232,
%T A069831 279,354,422,524,627,780,926,1134,1355,1651,1958,2366,2809,3372,3988,
%U A069831 4757,5628,6678,7874,9283,10964,12861,15130,17686,20799,24209,28389
%N A069831 Number of graphical partitions of simple Eulerian graphs (partitions given by the degrees of vertices of simple (no loops or multiple edges) graphs having only vertices of even degrees) having n edges.
%H A069831 Sean A. Irvine, <a href="/A069831/b069831.txt">Table of n, a(n) for n = 0..100</a>
%H A069831 Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a069/A069831.java">Java program</a> (github)
%e A069831 a(1)=a(2)=0 since Eulerian graphs having 1 or 2 edges are not simple. The triangle is the unique Eulerian graph having 3 edges and no isolated vertices, thus showing a(3)=1.
%Y A069831 Cf. A000569.
%K A069831 nonn
%O A069831 0,7
%A A069831 _Roland Bacher_, Apr 23 2002