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 A326908 #4 Aug 04 2019 19:10:43 %S A326908 2,4,9,23,70,256,1160,6599,48017,452518,5574706,90198548,1919074899, %T A326908 53620291147,1962114118390,93718030190126,5822768063787557 %N A326908 Number of non-isomorphic sets of subsets of {1..n} that are closed under union and intersection. %e A326908 Non-isomorphic representatives of the a(0) = 2 through a(3) = 23 sets of subsets: %e A326908 {} {} {} {} %e A326908 {{}} {{}} {{}} {{}} %e A326908 {{1}} {{1}} {{1}} %e A326908 {{}{1}} {{12}} {{12}} %e A326908 {{}{1}} {{}{1}} %e A326908 {{}{12}} {{123}} %e A326908 {{2}{12}} {{}{12}} %e A326908 {{}{2}{12}} {{}{123}} %e A326908 {{}{1}{2}{12}} {{2}{12}} %e A326908 {{3}{123}} %e A326908 {{}{2}{12}} %e A326908 {{23}{123}} %e A326908 {{}{3}{123}} %e A326908 {{}{23}{123}} %e A326908 {{}{1}{2}{12}} %e A326908 {{3}{23}{123}} %e A326908 {{}{1}{23}{123}} %e A326908 {{}{3}{23}{123}} %e A326908 {{3}{13}{23}{123}} %e A326908 {{}{2}{3}{23}{123}} %e A326908 {{}{3}{13}{23}{123}} %e A326908 {{}{2}{3}{13}{23}{123}} %e A326908 {{}{1}{2}{3}{12}{13}{23}{123}} %t A326908 Table[Length[Select[Subsets[Subsets[Range[n]]],SubsetQ[#,Union@@@Tuples[#,2]]&&SubsetQ[#,Intersection@@@Tuples[#,2]]&]],{n,0,3}] %Y A326908 The labeled version is A306445. %Y A326908 Taking first differences and prepending 1 gives A326898. %Y A326908 Taking second differences and prepending two 1's gives A001930. %Y A326908 Cf. A000612, A000798, A003180, A108798, A108800, A193675, A326867, A326876, A326878, A326882, A326883. %K A326908 nonn,more %O A326908 0,1 %A A326908 _Gus Wiseman_, Aug 03 2019