The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A319557 Number of non-isomorphic strict connected multiset partitions of weight n. 25
 1, 1, 2, 5, 12, 30, 91, 256, 823, 2656, 9103 (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. Also the number of non-isomorphic connected T_0 multiset partitions of weight n. In a multiset partition, two vertices are equivalent if in every block the multiplicity of the first is equal to the multiplicity of the second. The T_0 condition means that there are no equivalent vertices. LINKS FORMULA Inverse Euler transform of A316980. EXAMPLE Non-isomorphic representatives of the a(4) = 12 strict connected multiset partitions:     {{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},{1,2,2}}    {{2},{1,2,2}}    {{3},{1,2,3}}    {{1,2},{2,2}}    {{1,3},{2,3}}   {{1},{2},{1,2}} Non-isomorphic representatives of the a(4) = 12 connected T_0 multiset partitions:      {{1,1,1,1}}      {{1,2,2,2}}     {{1},{1,1,1}}     {{1},{1,2,2}}     {{2},{1,2,2}}     {{1,1},{1,1}}     {{1,2},{2,2}}     {{1,3},{2,3}}    {{1},{1},{1,1}}    {{1},{2},{1,2}}    {{2},{2},{1,2}}   {{1},{1},{1},{1}} CROSSREFS Cf. A007716, A007718, A049311, A056156, A283877, A316980. Cf. A319558, A319559, A319560, A319564, A319565, A319566, A319567. Sequence in context: A261788 A112412 A309506 * A261937 A305311 A291239 Adjacent sequences:  A319554 A319555 A319556 * A319558 A319559 A319560 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 23 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 21 12:41 EDT 2021. Contains 343153 sequences. (Running on oeis4.)