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 A236000 #27 Apr 04 2014 13:14:04 %S A236000 1,1,1,1,1,1,2,2,1,1,1,1,1,1,2,1,2,1,2,1,2,1,3,3,1,1,1,1,1,1,1,1,2,1, %T A236000 1,2,1,1,2,1,1,2,1,1,3,1,3,1,3,1,3,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1,1,1, %U A236000 2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,3,1,1 %N A236000 Triangle read by rows in which row n lists the overpartitions of n in colexicographic order. %C A236000 In the data section the overlined parts cannot be represented correctly, therefore the sequence represents all possible suborderings generated by the overlined parts. %C A236000 The diagram in the second part of the Example section shows only one of the possible suborderings. %C A236000 The equivalent sequence for partitions is A211992. %C A236000 The equivalent sequence for compositions is A228525. %C A236000 See both sequences for more information. %C A236000 Row n contains A015128(n) overpartitions. %C A236000 Row n contains A235792(n) parts. %C A236000 Row sums give A235793. %e A236000 Triangle begins: %e A236000 [1], [1]; %e A236000 [1, 1], [1, 1], [2], [2]; %e A236000 [1, 1, 1], [1, 1, 1], [2, 1], [2, 1], [2, 1], [2, 1], [3], [3]; %e A236000 [1, 1, 1, 1], [1, 1, 1, 1], [2, 1, 1], [2, 1, 1], [2, 1, 1], [2, 1, 1], [3, 1], [3, 1], [3, 1], [3, 1], [2, 2], [2, 2], [4], [4]; %e A236000 ... %e A236000 Illustration of initial terms (n: 1..4) %e A236000 ----------------------------------------- %e A236000 n Diagram Overpartition %e A236000 ----------------------------------------- %e A236000 . _ %e A236000 1 |.| 1', %e A236000 1 |_| 1; %e A236000 . _ _ %e A236000 2 |.| | 1', 1, %e A236000 2 |_| | 1, 1, %e A236000 2 | .| 2', %e A236000 2 |_ _| 2; %e A236000 . _ _ _ %e A236000 3 |.| | | 1', 1, 1, %e A236000 3 |_| | | 1, 1, 1, %e A236000 3 | .|.| 2', 1', %e A236000 3 | |.| 2, 1', %e A236000 3 | .| | 2', 1, %e A236000 3 |_ _| | 2, 1, %e A236000 3 | .| 3', %e A236000 3 |_ _ _| 3; %e A236000 . _ _ _ _ %e A236000 4 |.| | | | 1', 1, 1, 1, %e A236000 4 |_| | | | 1, 1, 1, 1, %e A236000 4 | .|.| | 2', 1', 1, %e A236000 4 | |.| | 2, 1', 1, %e A236000 4 | .| | | 2', 1, 1, %e A236000 4 |_ _| | | 2, 1, 1, %e A236000 4 | .|.| 3', 1', %e A236000 4 | |.| 3, 1', %e A236000 4 | .| | 3', 1, %e A236000 4 |_ _ _| | 3, 1, %e A236000 4 | .| | 2', 2, %e A236000 4 |_ _| | 2, 2, %e A236000 4 | .| 4', %e A236000 4 |_ _ _ _| 4; %e A236000 . %Y A236000 Cf. A015128, A211992, A228525, A235790, A235792, A235793, A235797, A235798, A236001 %K A236000 nonn,tabf %O A236000 1,7 %A A236000 _Omar E. Pol_, Jan 18 2014