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A319759 Number of non-isomorphic intersecting multiset partitions of weight n with empty intersection. 11
1, 0, 0, 0, 0, 0, 1, 2, 13, 49, 199 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

A multiset partition is intersecting if no two parts are disjoint. The weight of a multiset partition is the sum of sizes of its parts. Weight is generally not the same as number of vertices.

LINKS

Table of n, a(n) for n=0..10.

EXAMPLE

Non-isomorphic representatives of the a(6) = 1 through a(8) = 13 multiset partitions:

6: {{1,2},{1,3},{2,3}}

7: {{1,2},{1,3},{2,3,3}}

   {{1,3},{1,4},{2,3,4}}

8: {{1,2},{1,3},{2,2,3,3}}

   {{1,2},{1,3},{2,3,3,3}}

   {{1,2},{1,3},{2,3,4,4}}

   {{1,2},{1,3,3},{2,3,3}}

   {{1,2},{1,3,4},{2,3,4}}

   {{1,3},{1,4},{2,3,4,4}}

   {{1,3},{1,1,2},{2,3,3}}

   {{1,3},{1,2,2},{2,3,3}}

   {{1,4},{1,5},{2,3,4,5}}

   {{2,3},{1,2,4},{3,4,4}}

   {{2,4},{1,2,3},{3,4,4}}

   {{2,4},{1,2,5},{3,4,5}}

   {{1,2},{1,3},{2,3},{2,3}}

CROSSREFS

Cf. A007716, A283877, A305854, A306006, A317757, A318715, A318717.

Cf. A319752, A319762, A319763, A319764, A319765, A319779, A319781.

Sequence in context: A270294 A005584 A072416 * A254784 A056305 A056297

Adjacent sequences:  A319756 A319757 A319758 * A319760 A319761 A319762

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Sep 27 2018

STATUS

approved

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Last modified March 24 11:49 EDT 2019. Contains 321448 sequences. (Running on oeis4.)