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 A296772 #8 Dec 20 2017 14:41:33
%S A296772 1,1,1,2,1,1,1,2,1,1,2,3,1,1,1,1,2,1,1,1,2,1,1,1,2,3,1,2,2,1,3,4,1,1,
%T A296772 1,1,1,2,1,1,1,1,2,1,1,1,1,2,1,1,1,1,2,3,1,1,2,2,1,2,1,2,1,3,1,1,2,2,
%U A296772 1,1,3,4,1,3,2,2,3,1,4,5,1,1,1,1,1,1,2
%N A296772 Triangle read by rows in which row n lists the compositions of n ordered first by decreasing length and then reverse-lexicographically.
%C A296772 The ordering of compositions in each row is consistent with the reverse-Mathematica ordering of expressions (cf. A124734).
%C A296772 Length of k-th composition is A124748(k-1)+1. - _Andrey Zabolotskiy_, Dec 20 2017
%e A296772 Triangle of compositions begins:
%e A296772 (1),
%e A296772 (11),(2),
%e A296772 (111),(21),(12),(3),
%e A296772 (1111),(211),(121),(112),(31),(22),(13),(4),
%e A296772 (11111),(2111),(1211),(1121),(1112),(311),(221),(212),(131),(122),(113),(41),(32),(23),(14),(5).
%t A296772 Table[Reverse[Sort[Join@@Permutations/@IntegerPartitions[n]]],{n,6}]
%Y A296772 Cf. A066099, A101211, A108730, A124734, A124748, A228369, A281013, A294859, A296302, A296656, A296773, A296774.
%K A296772 nonn,tabf
%O A296772 1,4
%A A296772 _Gus Wiseman_, Dec 20 2017