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.
%I A319625 #7 Sep 25 2018 08:06:51 %S A319625 1,1,0,0,0,0,1,0,1,1,3 %N A319625 Number of non-isomorphic connected weight-n antichains of distinct sets whose dual is also an antichain of distinct sets. %C A319625 The dual of a multiset partition has, for each vertex, one block consisting of the indices (or positions) of the blocks containing that vertex, counted with multiplicity. For example, the dual of {{1,2},{2,2}} is {{1},{1,2,2}}. %C A319625 The weight of a multiset partition is the sum of sizes of its parts. Weight is generally not the same as number of vertices. %F A319625 Euler transform is A319638. %e A319625 Non-isomorphic representatives of the a(1) = 1 through a(10) = 3 antichains: %e A319625 {{1}} %e A319625 {{1,2},{1,3},{2,3}} %e A319625 {{1,2},{1,3},{2,4},{3,4}} %e A319625 {{1,2},{1,3},{1,4},{2,3,4}} %e A319625 {{1,3},{2,4},{1,2,5},{3,4,5}} %e A319625 {{1,2},{1,3},{2,4},{3,5},{4,5}} %e A319625 {{1,3},{1,4},{2,3},{2,4},{3,4}} %Y A319625 Cf. A006126, A007716, A007718, A056156, A059201, A283877, A316980, A316983, A318099, A319557, A319558, A319565, A319616-A319646. %K A319625 nonn,more %O A319625 0,11 %A A319625 _Gus Wiseman_, Sep 25 2018