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.

A320446 Covers of triangles by tetrahedra: number of labeled 4-uniform hypergraphs spanning n vertices such that every three vertices appear together in some edge.

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%I A320446 #7 Jan 10 2019 04:47:02
%S A320446 1,1,1,0,1,6,5789
%N A320446 Covers of triangles by tetrahedra: number of labeled 4-uniform hypergraphs spanning n vertices such that every three vertices appear together in some edge.
%e A320446 The a(5) = 6 hypergraphs:
%e A320446   {{1234},{1235},{1245},{1345}}
%e A320446   {{1234},{1235},{1245},{2345}}
%e A320446   {{1234},{1235},{1345},{2345}}
%e A320446   {{1234},{1245},{1345},{2345}}
%e A320446   {{1235},{1245},{1345},{2345}}
%e A320446   {{1234},{1235},{1245},{1345},{2345}}
%t A320446 Table[Length[Select[Subsets[Subsets[Range[n],{4}]],Length[Union@@(Subsets[#,{3}]&/@#)]==Binomial[n,3]&]],{n,6}]
%Y A320446 Cf. A006126, A038041, A299471, A301922, A302374, A302394, A306021, A319540, A320395, A322451.
%K A320446 nonn,more
%O A320446 0,6
%A A320446 _Gus Wiseman_, Jan 10 2019