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 A339351 #4 Dec 01 2020 17:07:15
%S A339351 1,2,1,2,2,1,3,1,3,3,1,4,1,4,2,3,3,2,4,1,5,1,2,3,1,3,2,1,5,2,1,3,2,3,
%T A339351 1,2,4,3,1,2,3,2,1,4,2,5,1,6,1,2,4,1,4,2,1,6,2,1,4,2,4,1,2,5,3,4,4,1,
%U A339351 2,4,2,1,4,3,5,2,6,1,7,1,2,5,1,3,4,1,4,3,1,5,2,1,7,2,1,5,2,5,1,2,6,3,1,4,3,4,1,3,5,4,1,3,4,3,1,5,1,2,5,2,1,5,3,6,2,7,1,8
%N A339351 Irregular triangle read by rows in which row n lists the compositions (ordered partitions) of n into distinct parts in lexicographic order.
%H A339351 <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%e A339351 Triangle begins:
%e A339351 [1],
%e A339351 [2],
%e A339351 [1, 2], [2, 1], [3],
%e A339351 [1, 3], [3, 1], [4],
%e A339351 [1, 4], [2, 3], [3, 2], [4, 1], [5],
%e A339351 ...
%t A339351 Table[Sort[Join @@ Permutations /@ Select[IntegerPartitions[n], UnsameQ @@ # &], OrderedQ[PadRight[{#1, #2}]] &], {n, 8}] // Flatten
%Y A339351 Cf. A026793, A066099, A097910 (row lengths), A118457, A228369, A246688, A304797 (row sums), A339178.
%K A339351 nonn,tabf
%O A339351 1,2
%A A339351 _Ilya Gutkovskiy_, Dec 01 2020