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 A196931 #31 Dec 28 2023 09:25:31 %S A196931 0,1,1,2,1,1,3,1,1,1,2,4,1,1,1,1,1,2,5,1,1,1,1,1,1,1,2,2,3,6,1,1,1,1, %T A196931 1,1,1,1,1,1,1,2,2,3,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,8,1, %U A196931 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1 %N A196931 Triangle read by rows in which row n lists in nondecreasing order the smallest part of every partition of n. %C A196931 If n >= 1, row n lists the smallest parts of every partition of n in the order produced by the shell model of partitions of A135010, hence row n lists the parts of the last section of the set of partitions of n, except the emergent parts (See A182699). %C A196931 Row n has length A000041(n). Row sums give A046746. Right border of triangle gives A001477. Row n starts with A000041(n-1) ones, n >= 1. %e A196931 Written as a triangle: %e A196931 0, %e A196931 1, %e A196931 1,2, %e A196931 1,1,3, %e A196931 1,1,1,2,4, %e A196931 1,1,1,1,1,2,5, %e A196931 1,1,1,1,1,1,1,2,2,3,6 %e A196931 1,1,1,1,1,1,1,1,1,1,1,2,2,3,7, %e A196931 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,8, %e A196931 ... %Y A196931 Mirror of triangle A182715. %Y A196931 Cf. A000041, A046746, A135010, A138121, A141285, A182699, A183152, A193827, A196930. %K A196931 nonn,tabf %O A196931 0,4 %A A196931 _Omar E. Pol_, Oct 21 2011