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.

A327230 Number of non-isomorphic set-systems covering n vertices with at least one endpoint/leaf.

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%I A327230 #5 Sep 02 2019 08:05:05
%S A327230 0,1,3,14,198
%N A327230 Number of non-isomorphic set-systems covering n vertices with at least one endpoint/leaf.
%C A327230 A set-system is a finite set of finite nonempty sets. Elements of a set-system are sometimes called edges. A leaf is an edge containing a vertex that does not belong to any other edge, while an endpoint is a vertex belonging to only one edge.
%C A327230 Also covering set-systems with minimum vertex-degree 1.
%e A327230 Non-isomorphic representatives of the a(1) = 1 through a(3) = 14 set-systems:
%e A327230   {{1}}  {{1,2}}      {{1,2,3}}
%e A327230          {{1},{2}}    {{1},{2,3}}
%e A327230          {{2},{1,2}}  {{1},{2},{3}}
%e A327230                       {{1,3},{2,3}}
%e A327230                       {{3},{1,2,3}}
%e A327230                       {{1},{3},{2,3}}
%e A327230                       {{2,3},{1,2,3}}
%e A327230                       {{2},{1,3},{2,3}}
%e A327230                       {{2},{3},{1,2,3}}
%e A327230                       {{3},{1,3},{2,3}}
%e A327230                       {{1},{2},{3},{2,3}}
%e A327230                       {{3},{2,3},{1,2,3}}
%e A327230                       {{2},{3},{1,3},{2,3}}
%e A327230                       {{2},{3},{2,3},{1,2,3}}
%Y A327230 Unlabeled covering set-systems are A055621.
%Y A327230 The labeled version is A327229.
%Y A327230 The non-covering version is A327335 (partial sums).
%Y A327230 Cf. A002494, A245797, A261919, A283877, A327103, A327105, A327197, A327227, A327228.
%K A327230 nonn,more
%O A327230 0,3
%A A327230 _Gus Wiseman_, Sep 01 2019