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 A182718 #8 Dec 01 2013 13:35:01 %S A182718 1,2,3,4,2,5,3,6,3,4,2,7,4,5,3,8,4,5,6,3,4,2,9,5,6,3,7,4,5,3 %N A182718 Largest part of the n-th row of the diagram of another version of the shell model of partitions in which each last section of partitions is represented by a tree. %C A182718 The same positive integers of the triangle of A141285 but here each row lists the terms in reverse order. %C A182718 It appears that the version of the shell model of partitions which gives this sequence also shows a connection between the partition theory and the graph theory because the structure looks like a forest or grove in which each last section is a tree. In a three-dimensional version of the structure we can see that one of the views shows the branches of the trees of the even numbers tilted 45 degrees to the left and the branches of the trees of the odd numbers tilted 45 degrees to the right. Another view contains the "roots" of trees, the tables of both A182982 and A182983. %C A182718 I would like a table for this sequence! %C A182718 I would like to see the graphic! %e A182718 Triangle begins: %e A182718 1, %e A182718 2, %e A182718 3, %e A182718 4, 2, %e A182718 5, 3, %e A182718 6, 3, 4, 2, %e A182718 7, 4, 5, 3, %e A182718 8, 4, 5, 6, 3, 4, 2, %e A182718 9, 5, 6, 3, 7, 4, 5, 3, %Y A182718 Cf. A135010, A138121, A141285, A182742, A182743, A182982, A182983. %Y A182718 Column 1 gives A000027. %K A182718 nonn,tabf %O A182718 1,2 %A A182718 _Omar E. Pol_, Jan 26 2011