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A319612 Number of regular simple graphs spanning n vertices. 14

%I #23 Sep 02 2019 23:04:09

%S 1,0,1,1,7,13,171,931,45935,1084413,155862511,10382960971,

%T 6939278572095,2203360500122299,4186526756621772343,

%U 3747344008241368443819,35041787059691023579970847,156277111373303386104606663421,4142122641757598618318165240180095

%N Number of regular simple graphs spanning n vertices.

%C A graph is regular if all vertices have the same degree. The span of a graph is the union of its edges.

%F a(n) = A295193(n) - 1.

%e The a(4) = 7 edge-sets:

%e {{1,2},{3,4}}

%e {{1,3},{2,4}}

%e {{1,4},{2,3}}

%e {{1,2},{1,3},{2,4},{3,4}}

%e {{1,2},{1,4},{2,3},{3,4}}

%e {{1,3},{1,4},{2,3},{2,4}}

%e {{1,2},{1,3},{1,4},{2,3},{2,4},{3,4}}

%Y Cf. A002829, A005176, A110100, A116539, A295193, A306017, A319189, A319190.

%K nonn

%O 0,5

%A _Gus Wiseman_, Dec 17 2018

%E a(16)-a(18) from _Andrew Howroyd_, Sep 02 2019

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)