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 A321255 Number of connected multiset partitions with multiset density -1, of strongly normal multisets of size n, with no singletons. 3
 0, 0, 2, 3, 8, 19, 60, 183, 643, 2355, 9393 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The multiset density of a multiset partition is the sum of the numbers of distinct vertices in each part minus the number of parts minus the number of vertices. A multiset is normal if it spans an initial interval of positive integers, and strongly normal if in addition its multiplicities are weakly decreasing. LINKS EXAMPLE The a(2) = 2 through a(5) = 19 multiset partitions:   {{1,1}}  {{1,1,1}}  {{1,1,1,1}}    {{1,1,1,1,1}}   {{1,2}}  {{1,1,2}}  {{1,1,1,2}}    {{1,1,1,1,2}}            {{1,2,3}}  {{1,1,2,2}}    {{1,1,1,2,2}}                       {{1,1,2,3}}    {{1,1,1,2,3}}                       {{1,2,3,4}}    {{1,1,2,2,3}}                       {{1,1},{1,1}}  {{1,1,2,3,4}}                       {{1,1},{1,2}}  {{1,2,3,4,5}}                       {{1,2},{1,3}}  {{1,1},{1,1,1}}                                      {{1,1},{1,1,2}}                                      {{1,1},{1,2,2}}                                      {{1,1},{1,2,3}}                                      {{1,2},{1,1,1}}                                      {{1,2},{1,1,3}}                                      {{1,2},{1,3,4}}                                      {{1,3},{1,1,2}}                                      {{1,3},{1,2,2}}                                      {{1,3},{1,2,4}}                                      {{1,4},{1,2,3}}                                      {{2,3},{1,1,2}} CROSSREFS Cf. A000272, A030019, A052888, A134954, A304867, A317672, A321228, A321229, A321253. Sequence in context: A077269 A294431 A148043 * A243791 A243335 A303835 Adjacent sequences:  A321252 A321253 A321254 * A321256 A321257 A321258 KEYWORD nonn,more AUTHOR Gus Wiseman, Nov 01 2018 STATUS approved

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Last modified April 15 02:27 EDT 2021. Contains 342974 sequences. (Running on oeis4.)