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 A319620 #7 Oct 26 2018 12:50:18 %S A319620 1,1,1,2,22,2133 %N A319620 Number of connected antichain covers of n vertices by distinct sets whose dual is also a (not necessarily strict) antichain. %C A319620 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}}. %e A319620 The a(4) = 22 antichain covers: %e A319620 {{1,2,3,4}} %e A319620 {{3,4},{1,2,3},{1,2,4}} %e A319620 {{2,4},{1,2,3},{1,3,4}} %e A319620 {{2,3},{1,2,4},{1,3,4}} %e A319620 {{1,4},{1,2,3},{2,3,4}} %e A319620 {{1,3},{1,2,4},{2,3,4}} %e A319620 {{1,2},{1,3,4},{2,3,4}} %e A319620 {{1,3},{1,4},{2,3},{2,4}} %e A319620 {{1,2},{1,4},{2,3},{3,4}} %e A319620 {{1,2},{1,3},{2,4},{3,4}} %e A319620 {{1,4},{2,4},{3,4},{1,2,3}} %e A319620 {{1,3},{2,3},{3,4},{1,2,4}} %e A319620 {{1,2},{2,3},{2,4},{1,3,4}} %e A319620 {{1,2},{1,3},{1,4},{2,3,4}} %e A319620 {{1,3},{1,4},{2,3},{2,4},{3,4}} %e A319620 {{1,2},{1,4},{2,3},{2,4},{3,4}} %e A319620 {{1,2},{1,3},{2,3},{2,4},{3,4}} %e A319620 {{1,2},{1,3},{1,4},{2,4},{3,4}} %e A319620 {{1,2},{1,3},{1,4},{2,3},{3,4}} %e A319620 {{1,2},{1,3},{1,4},{2,3},{2,4}} %e A319620 {{1,2,3},{1,2,4},{1,3,4},{2,3,4}} %e A319620 {{1,2},{1,3},{1,4},{2,3},{2,4},{3,4}} %Y A319620 Cf. A006126, A007716, A007718, A049311, A056156, A059201, A283877, A316980, A316983, A318099, A319557, A319565, A319616-A319646, A300913. %K A319620 nonn,more %O A319620 0,4 %A A319620 _Gus Wiseman_, Sep 25 2018