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.

A348222 Number of uniquely-3-colorable graphs on n vertices.

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%I A348222 #12 Jan 17 2024 09:07:46
%S A348222 1,1,3,12,72,856,17018,531568
%N A348222 Number of uniquely-3-colorable graphs on n vertices.
%C A348222 A graph is uniquely 3-colorable if there is a unique partition of its vertex set into 3 independent sets. This implies that every proper 3-coloring of the graph has this partition as its set of color classes.
%F A348222 a(n) = A369227(n,3). - _Eric W. Weisstein_, Jan 16 2024
%e A348222 a(3) = 1 and  a(4) = 1 because the complete graph K3 and K4-e are the only such graphs on 3 and 4 vertices, respectively.
%Y A348222 Cf. A369227
%K A348222 nonn,more
%O A348222 3,3
%A A348222 _Gordon Royle_, Oct 08 2021