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.

A185226 Number of disconnected 2-regular simple graphs on n vertices with girth at least 6.

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%I A185226 #21 Sep 08 2022 08:45:55
%S A185226 0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,5,5,7,8,10,11,15,16,20,23,28,31,
%T A185226 39,43,52,59,70,79,95,106,125,142,166,187,220,247,287,325,375,423,490,
%U A185226 551,633,715,818,921,1055,1186,1352,1522,1729,1943,2208
%N A185226 Number of disconnected 2-regular simple graphs on n vertices with girth at least 6.
%C A185226 Number of partitions of n with each part at least 6, and at least 2 parts.
%H A185226 Jason Kimberley, <a href="/wiki/User:Jason_Kimberley/D_girth_ge_6">Disconnected regular graphs with girth at least 6</a>
%H A185226 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 A185226 a(n) = A185326(n) - A185116(n).
%o A185226 (Magma) A185226 := func<n|n eq 0 select 0 else #RestrictedPartitions(n,{6..n-1})>;
%Y A185226 Disconnected k-regular simple graphs with girth at least 6: A185216 (all k), A185206 (triangle); this sequence (k=2), A185236 (k=3), A185246 (k=4).
%Y A185226 Disconnected 2-regular simple graphs with girth at least g: A165652 (g=3), A185224 (g=4), A185225 (g=5), this sequence (g=6), A185227 (g=7), A185228 (g=8), A185229 (g=9).
%K A185226 nonn,easy
%O A185226 0,15
%A A185226 _Jason Kimberley_, Feb 22 2011