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.

A327060 Number of non-isomorphic weight-n weak antichains of multisets where every two vertices appear together in some edge (cointersecting).

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%I A327060 #7 Aug 19 2019 08:50:39
%S A327060 1,1,3,4,9,11,30,42,103,194,443
%N A327060 Number of non-isomorphic weight-n weak antichains of multisets where every two vertices appear together in some edge (cointersecting).
%C A327060 A multiset partition is a finite multiset of finite nonempty multisets. It is a weak antichain if no part is a proper submultiset of any other.
%e A327060 Non-isomorphic representatives of the a(0) = 1 through a(5) = 11 multiset partitions:
%e A327060   {}  {{1}}  {{11}}    {{111}}      {{1111}}        {{11111}}
%e A327060              {{12}}    {{122}}      {{1122}}        {{11222}}
%e A327060              {{1}{1}}  {{123}}      {{1222}}        {{12222}}
%e A327060                        {{1}{1}{1}}  {{1233}}        {{12233}}
%e A327060                                     {{1234}}        {{12333}}
%e A327060                                     {{11}{11}}      {{12344}}
%e A327060                                     {{12}{12}}      {{12345}}
%e A327060                                     {{12}{22}}      {{11}{122}}
%e A327060                                     {{1}{1}{1}{1}}  {{12}{222}}
%e A327060                                                     {{33}{123}}
%e A327060                                                     {{1}{1}{1}{1}{1}}
%Y A327060 Antichains are A000372.
%Y A327060 The BII-numbers of these set-systems are the intersection of A326853 and A326704.
%Y A327060 Cointersecting set-systems are A327039.
%Y A327060 The set-system version is A327057, with covering case A327058.
%Y A327060 Cf. A006126, A007716, A051185, A305844, A326965, A327020, A327059, A327062.
%K A327060 nonn,more
%O A327060 0,3
%A A327060 _Gus Wiseman_, Aug 18 2019