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 A325537 #4 May 08 2019 22:20:48 %S A325537 1,2,1,2,3,1,3,4,1,2,3,4,5,1,1,2,2,3,4,5,6,1,1,2,2,3,4,4,5,6,7,1,1,1, %T A325537 2,2,3,3,4,5,5,6,7,8,1,1,1,2,2,2,3,3,3,4,4,5,5,6,6,7,8,9,1,1,1,1,1,2, %U A325537 2,2,2,3,3,3,3,4,4,4,5,5,6,6,7,7,8,9,10 %N A325537 Irregular triangle whose rows are the sorted combined parts of all strict integer partitions of n. %e A325537 The strict integer partitions of 6 are {(6), (5,1), (4,2), (3,2,1)} with multiset union {1,1,2,2,3,4,5,6}, which is row n = 6. %e A325537 Triangle begins: %e A325537 1 %e A325537 2 %e A325537 1 2 3 %e A325537 1 3 4 %e A325537 1 2 3 4 5 %e A325537 1 1 2 2 3 4 5 6 %e A325537 1 1 2 2 3 4 4 5 6 7 %e A325537 1 1 1 2 2 3 3 4 5 5 6 7 8 %e A325537 1 1 1 2 2 2 3 3 3 4 4 5 5 6 6 7 8 9 %t A325537 Table[Sort[Join@@Select[IntegerPartitions[n],UnsameQ@@#&]],{n,10}] %Y A325537 Row lengths are A015723. %Y A325537 Row sums are A066189. %Y A325537 Row products are A325504. %Y A325537 Run-lengths of row n are row n of A325513. %Y A325537 Cf. A000009, A006128, A022629, A181821, A302247, A325515. %K A325537 nonn,tabf %O A325537 1,2 %A A325537 _Gus Wiseman_, May 08 2019