A322138 - OEIS

A322138

Number of non-isomorphic weight-n blobs (2-connected weak antichains) of multisets with no singletons.

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}{11}} {{12344}} {{122333}} {{1222333}}

{{12}{12}} {{12345}} {{123333}} {{1223333}}

{{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

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Nov 27 2018

STATUS

approved