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 A198085 #16 Feb 04 2021 14:14:52 %S A198085 1,3,11,114,6833,7783197,2414627236077,56130437209370100252470 %N A198085 Number of nonempty connected, containment-free subsets of 2^[n]. Total number of clutters on all subsets of [n]. Number of connected antichains in the Boolean algebra B_n (the poset of subsets of [n] ordered by containment). %C A198085 The restriction to (spanning hypergraphs = maximal antichains = clutters on [n]) is considered in A048143. %F A198085 a(n) = Sum_{k=1..n} binomial(n,k) * A048143(k). - _Andrew Howroyd_, Feb 04 2021 %e A198085 For n=3: {{1}}, {{2}}, {{3}}, {{12}}, {{13}}, {{23}}, {{123}}, {{12}{13}}, {{12}{23}}, {{13}{23}}, {{12}{13}{23}}. %Y A198085 Cf. A048143. %K A198085 nonn,more %O A198085 1,2 %A A198085 _Gus Wiseman_, Oct 21 2011 %E A198085 a(6)-a(8) from _Andrew Howroyd_, Feb 04 2021