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.

A320798 Number of non-isomorphic weight-n connected antichains of non-constant multisets with multiset density -1.

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%I A320798 #5 Dec 02 2018 20:54:34
%S A320798 0,1,2,5,9,24,51,134,328,868
%N A320798 Number of non-isomorphic weight-n connected antichains of non-constant multisets with multiset density -1.
%C A320798 The multiset density of a multiset partition is the sum of the numbers of distinct vertices in each part minus the number of parts minus the number of vertices.
%C A320798 The weight of a multiset partition is the sum of sizes of its parts. Weight is generally not the same as number of vertices.
%e A320798 Non-isomorphic representatives of the a(2) = 1 through a(6) = 24 multiset partitions:
%e A320798   {{12}}  {{122}}  {{1122}}    {{11222}}    {{111222}}
%e A320798           {{123}}  {{1222}}    {{12222}}    {{112222}}
%e A320798                    {{1233}}    {{12233}}    {{112233}}
%e A320798                    {{1234}}    {{12333}}    {{122222}}
%e A320798                    {{13}{23}}  {{12344}}    {{122333}}
%e A320798                                {{12345}}    {{123333}}
%e A320798                                {{12}{233}}  {{123344}}
%e A320798                                {{13}{233}}  {{123444}}
%e A320798                                {{14}{234}}  {{123455}}
%e A320798                                             {{123456}}
%e A320798                                             {{112}{233}}
%e A320798                                             {{122}{233}}
%e A320798                                             {{12}{2333}}
%e A320798                                             {{123}{344}}
%e A320798                                             {{124}{344}}
%e A320798                                             {{125}{345}}
%e A320798                                             {{13}{2233}}
%e A320798                                             {{13}{2333}}
%e A320798                                             {{13}{2344}}
%e A320798                                             {{133}{233}}
%e A320798                                             {{14}{2344}}
%e A320798                                             {{15}{2345}}
%e A320798                                             {{13}{24}{34}}
%e A320798                                             {{14}{24}{34}}
%Y A320798 Cf. A007716, A007718, A286520, A304867, A319719, A319721, A321155, A321760, A322111, A322113.
%K A320798 nonn,more
%O A320798 1,3
%A A320798 _Gus Wiseman_, Nov 29 2018