login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A323794 Number of non-isomorphic weight-n multisets of sets of multisets. 9
1, 1, 5, 17, 77, 318, 1561, 7667 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Also the number of non-isomorphic set multipartitions of multiset partitions of weight n.
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(1) = 1 through a(3) = 17 multiset partitions:
{{1}} {{11}} {{111}}
{{12}} {{112}}
{{1}{2}} {{123}}
{{1}}{{1}} {{1}{11}}
{{1}}{{2}} {{1}{12}}
{{1}{23}}
{{2}{11}}
{{1}}{{11}}
{{1}}{{12}}
{{1}}{{23}}
{{1}{2}{3}}
{{2}}{{11}}
{{1}}{{1}{2}}
{{1}}{{2}{3}}
{{1}}{{1}}{{1}}
{{1}}{{1}}{{2}}
{{1}}{{2}}{{3}}
CROSSREFS
Sequence in context: A149741 A149742 A149743 * A151479 A330800 A293458
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Jan 28 2019
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 12 14:01 EDT 2024. Contains 371635 sequences. (Running on oeis4.)