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 A331714 #6 Jan 31 2020 20:14:16 %S A331714 1,5,12,25,44,73,112,166,235,325,436,575,742,945,1184,1468,1797,2181, %T A331714 2620,3125,3696,4345,5072,5890 %N A331714 Number of non-isomorphic set-systems with 3 sets each with n elements. %C A331714 a(n) is the number of nonequivalent binary matrices with 3 distinct columns and any number of nonzero rows with n ones in every column up to permutation of rows and columns. %e A331714 The a(2) = 5 set systems are: %e A331714 {{1,2}, {3,4}, {5,6}}, %e A331714 {{1,2}, {1,3}, {4,5}}, %e A331714 {{1,2}, {1,3}, {1,4}}, %e A331714 {{1,2}, {1,3}, {2,4}}, %e A331714 {{1,2}, {1,3}, {2,3}}. %e A331714 . %e A331714 These correspond to the following matrices: %e A331714 [1 0 0] [1 1 0] [1 1 1] [1 1 0] [1 1 0] %e A331714 [1 0 0] [1 0 0] [1 0 0] [1 0 1] [1 0 1] %e A331714 [0 1 0] [0 1 0] [0 1 0] [0 1 0] [0 1 1] %e A331714 [0 1 0] [0 0 1] [0 0 1] [0 0 1] %e A331714 [0 0 1] [0 0 1] %e A331714 [0 0 1] %Y A331714 Column k=3 of A331508. %Y A331714 Cf. A331713. %K A331714 nonn,more %O A331714 1,2 %A A331714 _Andrew Howroyd_, Jan 31 2020