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.

A185228 Number of disconnected 2-regular simple graphs on n vertices with girth at least 8.

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%I A185228 #16 Sep 08 2022 08:45:55
%S A185228 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,6,6,8,9,11,12,15,16,
%T A185228 20,22,26,29,35,38,45,50,59,65,76,84,98,109,125,139,161,178,204,227,
%U A185228 259,288,328,364,414,460,520,578,654,725,817,908,1021,1133
%N A185228 Number of disconnected 2-regular simple graphs on n vertices with girth at least 8.
%C A185228 Number of partitions of n with each part at least 8, and at least 2 parts.
%H A185228 Andrew Howroyd, <a href="/A185228/b185228.txt">Table of n, a(n) for n = 0..1000</a>
%H A185228 Jason Kimberley, <a href="/wiki/User:Jason_Kimberley/D_k-reg_girth_ge_g_index">Index of sequences counting disconnected k-regular simple graphs with girth at least g</a>
%F A185228 a(n) = A185328() - A185118(n). - _Andrew Howroyd_, Apr 18 2021
%o A185228 (Magma) A185228 := func<n|n eq 0 select 0 else #RestrictedPartitions(n,{8..n-1})>;
%Y A185228 Disconnected 2-regular simple graphs with girth at least g: A165652 (g=3), A185224 (g=4), A185225 (g=5), A185226 (g=6), A185227 (g=7), this sequence (g=8), A185229 (g=9).
%Y A185228 Cf. A185118, A185328.
%K A185228 nonn,easy
%O A185228 0,19
%A A185228 _Jason Kimberley_, Feb 22 2011
%E A185228 Terms a(62) and beyond from _Andrew Howroyd_, Apr 18 2021