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A322138 Number of non-isomorphic weight-n blobs (2-connected weak antichains) of multisets with no singletons. 3
1, 0, 2, 3, 7, 7, 20, 26, 78, 184, 553 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
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
EXAMPLE
Non-isomorphic representatives of the a(2) = 2 through a(7) = 26 blobs:
{{11}} {{111}} {{1111}} {{11111}} {{111111}} {{1111111}}
{{12}} {{122}} {{1122}} {{11222}} {{111222}} {{1112222}}
{{123}} {{1222}} {{12222}} {{112222}} {{1122222}}
{{1233}} {{12233}} {{112233}} {{1122333}}
{{1234}} {{12333}} {{122222}} {{1222222}}
{{11}{11}} {{12344}} {{122333}} {{1222333}}
{{12}{12}} {{12345}} {{123333}} {{1223333}}
{{123344}} {{1223344}}
{{123444}} {{1233333}}
{{123455}} {{1233444}}
{{123456}} {{1234444}}
{{111}{111}} {{1234455}}
{{112}{122}} {{1234555}}
{{122}{122}} {{1234566}}
{{123}{123}} {{1234567}}
{{123}{233}} {{112}{1222}}
{{134}{234}} {{122}{1233}}
{{11}{11}{11}} {{123}{2233}}
{{12}{12}{12}} {{123}{2333}}
{{12}{13}{23}} {{123}{2344}}
{{134}{2344}}
{{145}{2345}}
{{223}{1233}}
{{344}{1234}}
{{12}{13}{233}}
{{13}{14}{234}}
CROSSREFS
Sequence in context: A309666 A085420 A027672 * A104138 A281909 A083809
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Nov 27 2018
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)