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.

A306827 Isomorphism classes of connected 2-in 2-out digraphs, allowing parallel edges but not loops.

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%I A306827 #25 Mar 28 2019 06:25:56
%S A306827 1,2,5,13,59,285,1987,16057,149430,1551863,17747299,221015026
%N A306827 Isomorphism classes of connected 2-in 2-out digraphs, allowing parallel edges but not loops.
%C A306827 From _R. J. Mathar_, Mar 15 2019: (Start)
%C A306827 The multiset transform (graphs with n>=2 nodes and k>=1 components) is
%C A306827 1
%C A306827 2
%C A306827 5    1
%C A306827 13    2
%C A306827 59    8    1
%C A306827 285   23    2
%C A306827 1987  100    8    1
%C A306827 16057  468   27    2
%C A306827 149430 2943  115    8    1
%C A306827 The row sums (Euler transform) are A307180. (End)
%H A306827 J. Hu, A. H. MacDonald and B. D. McKay, <a href="https://doi.org/10.1103/PhysRevB.49.15263">Correlations in two-dimensional vortex liquids</a>, Physical Review B, 49, 21 (1994) 15263-15270.
%H A306827 R. J. Mathar, <a href="/A306827/a306827.pdf">OEIS A306827</a>
%e A306827 For n=3, the a(3)=2 solutions consist of two superimposed directed triangles, one with the triangles oriented consistently and the other with the triangles oriented oppositely.
%Y A306827 Cf. A219889 (no multiedges, not necessarily connected), A306892 (loops permitted), A307180 (Euler transf.)
%K A306827 nonn,hard
%O A306827 2,2
%A A306827 _Brendan McKay_, Mar 12 2019