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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A321255 Number of connected multiset partitions with multiset density -1, of strongly normal multisets of size n, with no singletons.

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%I A321255 #8 Nov 01 2018 18:22:48
%S A321255 0,0,2,3,8,19,60,183,643,2355,9393
%N A321255 Number of connected multiset partitions with multiset density -1, of strongly normal multisets of size n, with no singletons.
%C A321255 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.
%C A321255 A multiset is normal if it spans an initial interval of positive integers, and strongly normal if in addition its multiplicities are weakly decreasing.
%e A321255 The a(2) = 2 through a(5) = 19 multiset partitions:
%e A321255   {{1,1}}  {{1,1,1}}  {{1,1,1,1}}    {{1,1,1,1,1}}
%e A321255   {{1,2}}  {{1,1,2}}  {{1,1,1,2}}    {{1,1,1,1,2}}
%e A321255            {{1,2,3}}  {{1,1,2,2}}    {{1,1,1,2,2}}
%e A321255                       {{1,1,2,3}}    {{1,1,1,2,3}}
%e A321255                       {{1,2,3,4}}    {{1,1,2,2,3}}
%e A321255                       {{1,1},{1,1}}  {{1,1,2,3,4}}
%e A321255                       {{1,1},{1,2}}  {{1,2,3,4,5}}
%e A321255                       {{1,2},{1,3}}  {{1,1},{1,1,1}}
%e A321255                                      {{1,1},{1,1,2}}
%e A321255                                      {{1,1},{1,2,2}}
%e A321255                                      {{1,1},{1,2,3}}
%e A321255                                      {{1,2},{1,1,1}}
%e A321255                                      {{1,2},{1,1,3}}
%e A321255                                      {{1,2},{1,3,4}}
%e A321255                                      {{1,3},{1,1,2}}
%e A321255                                      {{1,3},{1,2,2}}
%e A321255                                      {{1,3},{1,2,4}}
%e A321255                                      {{1,4},{1,2,3}}
%e A321255                                      {{2,3},{1,1,2}}
%Y A321255 Cf. A000272, A030019, A052888, A134954, A304867, A317672, A321228, A321229, A321253.
%K A321255 nonn,more
%O A321255 0,3
%A A321255 _Gus Wiseman_, Nov 01 2018