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 A306008 #5 Jun 18 2018 08:58:49
%S A306008 1,0,1,1,2,3,7,10,21,39,78
%N A306008 Number of non-isomorphic intersecting set-systems of weight n with no singletons.
%C A306008 An intersecting set-system is a finite set of finite nonempty sets (edges), any two of which have a nonempty intersection. The weight of a set-system is the sum of cardinalities of its elements. Weight is generally not the same as number of vertices.
%e A306008 Non-isomorphic representatives of the a(6) = 7 set-systems:
%e A306008 {{1,2,3,4,5,6}}
%e A306008 {{1,5},{2,3,4,5}}
%e A306008 {{3,4},{1,2,3,4}}
%e A306008 {{1,2,5},{3,4,5}}
%e A306008 {{1,3,4},{2,3,4}}
%e A306008 {{1,2},{1,3},{2,3}}
%e A306008 {{1,4},{2,4},{3,4}}
%Y A306008 Cf. A007716, A034691, A048143, A049311, A116540, A283877, A293606, A293607, A304867, A305999, A305854-A305857, A306005-A306007.
%K A306008 nonn,more
%O A306008 0,5
%A A306008 _Gus Wiseman_, Jun 16 2018