login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A319752 Number of non-isomorphic intersecting multiset partitions of weight n. 29
1, 1, 3, 6, 16, 35, 94, 222, 584, 1488, 3977 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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(4) = 16 multiset partitions:

  {{1,1,1,1}}

  {{1,1,2,2}}

  {{1,2,2,2}}

  {{1,2,3,3}}

  {{1,2,3,4}}

  {{1},{1,1,1}}

  {{1},{1,2,2}}

  {{2},{1,2,2}}

  {{3},{1,2,3}}

  {{1,1},{1,1}}

  {{1,2},{1,2}}

  {{1,2},{2,2}}

  {{1,3},{2,3}}

  {{1},{1},{1,1}}

  {{2},{2},{1,2}}

  {{1},{1},{1},{1}}

CROSSREFS

Cf. A007716, A049311, A283877, A305854, A306006, A316980, A319616.

Cf. A319755, A319759, A319760, A319765, A319779, A319787, A319789.

Sequence in context: A049311 A068590 A327736 * A130095 A293993 A072824

Adjacent sequences:  A319749 A319750 A319751 * A319753 A319754 A319755

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Sep 27 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 19 20:27 EDT 2021. Contains 345145 sequences. (Running on oeis4.)