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.

A323794 Number of non-isomorphic weight-n multisets of sets of multisets.

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%I A323794 #5 Jan 29 2019 11:47:40
%S A323794 1,1,5,17,77,318,1561,7667
%N A323794 Number of non-isomorphic weight-n multisets of sets of multisets.
%C A323794 Also the number of non-isomorphic set multipartitions of multiset partitions of weight n.
%C A323794 All sets and multisets must be finite, and only the outermost may be empty.
%C A323794 The weight of an atom is 1, and the weight of a multiset is the sum of weights of its elements, counting multiplicity.
%e A323794 Non-isomorphic representatives of the a(1) = 1 through a(3) = 17 multiset partitions:
%e A323794   {{1}}  {{11}}      {{111}}
%e A323794          {{12}}      {{112}}
%e A323794          {{1}{2}}    {{123}}
%e A323794          {{1}}{{1}}  {{1}{11}}
%e A323794          {{1}}{{2}}  {{1}{12}}
%e A323794                      {{1}{23}}
%e A323794                      {{2}{11}}
%e A323794                      {{1}}{{11}}
%e A323794                      {{1}}{{12}}
%e A323794                      {{1}}{{23}}
%e A323794                      {{1}{2}{3}}
%e A323794                      {{2}}{{11}}
%e A323794                      {{1}}{{1}{2}}
%e A323794                      {{1}}{{2}{3}}
%e A323794                      {{1}}{{1}}{{1}}
%e A323794                      {{1}}{{1}}{{2}}
%e A323794                      {{1}}{{2}}{{3}}
%Y A323794 Cf. A007716, A049311, A283877, A306186, A316980, A317791, A318565, A318566.
%Y A323794 Cf. A323787, A323788, A323789, A323790, A323791, A323792, A323793, A323795.
%K A323794 nonn,more
%O A323794 0,3
%A A323794 _Gus Wiseman_, Jan 28 2019