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A319719 Number of non-isomorphic connected antichains of multisets of weight n. 24
1, 1, 3, 4, 10, 14, 48, 95, 305, 822, 2615 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
In an antichain, no part is a proper submultiset of any other. The weight of an antichain is the sum of sizes of its parts. Weight is generally not the same as number of vertices. Connected antichains are also called clutters.
LINKS
Goran Kilibarda and Vladeta Jovovic, Antichains of Multisets, Journal of Integer Sequences, Vol. 7 (2004).
EXAMPLE
Non-isomorphic representatives of the a(1) = 1 through a(4) = 10 connected antichains:
1: {{1}}
2: {{1,1}}
{{1,2}}
{{1},{1}}
3: {{1,1,1}}
{{1,2,2}}
{{1,2,3}}
{{1},{1},{1}}
4: {{1,1,1,1}}
{{1,1,2,2}}
{{1,2,2,2}}
{{1,2,3,3}}
{{1,2,3,4}}
{{1,1},{1,1}}
{{1,2},{1,2}}
{{1,2},{2,2}}
{{1,3},{2,3}}
{{1},{1},{1},{1}}
CROSSREFS
Sequence in context: A056516 A056517 A285042 * A347568 A048155 A242342
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Sep 26 2018
STATUS
approved

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Last modified March 29 05:28 EDT 2024. Contains 371264 sequences. (Running on oeis4.)