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 A323786 Number of non-isomorphic weight-n multisets of multisets of non-singleton multisets. 0
 1, 0, 2, 3, 19, 39, 200, 615 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS All sets and multisets must be finite, and only the outermost may be empty. The weight of an atom is 1, and the weight of a multiset is the sum of weights of its elements, counting multiplicity. LINKS EXAMPLE Non-isomorphic representatives of the a(4) = 19 multiset partitions:   {{1111}}      {{1112}}      {{1123}}      {{1234}}   {{11}{11}}    {{1122}}      {{11}{23}}    {{12}{34}}   {{11}}{{11}}  {{11}{12}}    {{12}{13}}    {{12}}{{34}}                 {{11}{22}}    {{11}}{{23}}                 {{12}{12}}    {{12}}{{13}}                 {{11}}{{12}}                 {{11}}{{22}}                 {{12}}{{12}} Non-isomorphic representatives of the a(5) = 39 multiset partitions:   {{11111}}      {{11112}}      {{11123}}      {{11234}}      {{12345}}   {{11}{111}}    {{11122}}      {{11223}}      {{11}{234}}    {{12}{345}}   {{11}}{{111}}  {{11}{112}}    {{11}{123}}    {{12}{134}}    {{12}}{{345}}                  {{11}{122}}    {{11}{223}}    {{23}{114}}                  {{12}{111}}    {{12}{113}}    {{11}}{{234}}                  {{12}{112}}    {{12}{123}}    {{12}}{{134}}                  {{22}{111}}    {{13}{122}}    {{23}}{{114}}                  {{11}}{{112}}  {{23}{111}}                  {{11}}{{122}}  {{11}}{{123}}                  {{12}}{{111}}  {{11}}{{223}}                  {{12}}{{112}}  {{12}}{{113}}                  {{22}}{{111}}  {{12}}{{123}}                                 {{13}}{{122}}                                 {{23}}{{111}} CROSSREFS Cf. A007716, A302545, A306186, A317791, A318564, A318566. Cf. A323787, A323788, A323789, A323790, A323791, A323792, A323793, A323794. Sequence in context: A135958 A265787 A163665 * A215381 A215377 A051079 Adjacent sequences:  A323782 A323783 A323784 * A323787 A323788 A323789 KEYWORD nonn,more AUTHOR Gus Wiseman, Jan 28 2019 STATUS approved

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Last modified October 14 16:48 EDT 2019. Contains 328022 sequences. (Running on oeis4.)