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.

A304887 Number of non-isomorphic blobs of weight n.

This page as a plain text file.
%I A304887 #5 May 21 2018 03:26:20
%S A304887 1,1,1,1,1,1,3,3,8,14
%N A304887 Number of non-isomorphic blobs of weight n.
%C A304887 A blob is a connected antichain of finite sets that cannot be capped by a hypertree with more than one branch. The weight of a blob is the sum of cardinalities of its elements. Weight is generally not the same as number of vertices (see A275307).
%H A304887 Gus Wiseman, <a href="http://www.mathematica-journal.com/2017/12/every-clutter-is-a-tree-of-blobs/">Every Clutter Is a Tree of Blobs</a>, The Mathematica Journal, Vol. 19, 2017.
%e A304887 Non-isomorphic representatives of the a(8) = 8 blobs are the following:
%e A304887   {{1,2,3,4,5,6,7,8}}
%e A304887   {{1,5,6},{2,3,4,5,6}}
%e A304887   {{1,2,5,6},{3,4,5,6}}
%e A304887   {{1,3,4,5},{2,3,4,5}}
%e A304887   {{1,2},{1,3,4},{2,3,4}}
%e A304887   {{1,4},{1,5},{2,3,4,5}}
%e A304887   {{2,4},{1,2,5},{3,4,5}}
%e A304887   {{1,2},{1,3},{2,4},{3,4}}
%Y A304887 Cf. A030019, A035053, A048143, A275307, A283877, A286520, A293607, A293993, A293994, A304118, A304867.
%K A304887 nonn,more
%O A304887 0,7
%A A304887 _Gus Wiseman_, May 20 2018