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A323787 Number of non-isomorphic multiset partitions of strict multiset partitions of weight n. 9
1, 1, 4, 14, 56, 219, 1001, 4588 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The weight of an atom is 1, and the weight of a multiset is the sum of weights of its elements, counting multiplicity.

LINKS

Table of n, a(n) for n=0..7.

EXAMPLE

Non-isomorphic representatives of the a(1) = 1 through a(3) = 14 multiset partitions:

  {{1}}  {{11}}      {{111}}

         {{12}}      {{112}}

         {{1}{2}}    {{123}}

         {{1}}{{2}}  {{1}{11}}

                     {{1}{12}}

                     {{1}{23}}

                     {{2}{11}}

                     {{1}}{{11}}

                     {{1}}{{12}}

                     {{1}}{{23}}

                     {{1}{2}{3}}

                     {{2}}{{11}}

                     {{1}}{{2}{3}}

                     {{1}}{{2}}{{3}}

CROSSREFS

Cf. A002846, A005121, A007716, A050343, A213427, A269134, A283877, A306186, A316980, A317791, A318564, A318565, A318566, A318812.

Cf. A323788, A323789, A323790, A323791, A323792, A323793, A323794, A323795.

Sequence in context: A149490 A304977 A143406 * A132837 A259808 A149491

Adjacent sequences:  A323783 A323784 A323786 * A323788 A323789 A323790

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Jan 27 2019

STATUS

approved

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Last modified April 23 18:28 EDT 2019. Contains 322387 sequences. (Running on oeis4.)