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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 Cf. A001055, A001970, A007716, A007718, A056156, A096827, A253249, A285573, A293994, A318099, A319557, A319616-A319646, A319721. Sequence in context: A056516 A056517 A285042 * A347568 A048155 A242342 Adjacent sequences:  A319716 A319717 A319718 * A319720 A319721 A319722 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 26 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 17 12:30 EDT 2022. Contains 356189 sequences. (Running on oeis4.)