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 A366614 #6 Nov 12 2023 22:00:36 %S A366614 0,0,0,1,0,2,0,1,3,0,2,2,4,0,1,3,3,5,0,2,3,4,4,6,0,1,2,3,4,5,5,7,0,2, %T A366614 3,3,4,4,5,6,6,8,0,1,3,3,4,4,5,5,6,7,7,9,0,2,2,4,4,4,5,5,5,6,6,7,8,8, %U A366614 10,0,1,3,3,4,4,5,5,5,6,6,6,7,7,8,9,9 %N A366614 Irregular triangular array, read by rows: row n gives the numbers max(p) - min(p), in nondecreasing order, where p ranges through the strict partitions p of n. %e A366614 First twelve rows: %e A366614 0 %e A366614 0 %e A366614 0 1 %e A366614 0 2 %e A366614 0 1 3 %e A366614 0 2 2 4 %e A366614 0 1 3 3 5 %e A366614 0 2 3 4 4 6 %e A366614 0 1 2 3 4 5 5 7 %e A366614 0 2 3 3 4 4 5 6 6 8 %e A366614 0 1 3 3 4 4 5 5 6 7 7 9 %e A366614 0 2 2 4 4 4 5 5 5 6 6 7 8 8 10 %e A366614 The strict partitions p of 8 are 8, 71, 62, 53, 521, 431, for which max(p)-min(p) are the numbers 0, 6, 4, 2, 4, 3, or, in nondecreasing order, 0, 2, 3, 4, 4, 6, as in row 8. %t A366614 z = 20; d[n_] := d[n] = Select[IntegerPartitions[n], DeleteDuplicates[#] == # &]; %t A366614 p[n_, k_] := p[n, k] = d[n][[k]]; %t A366614 t = Table[Max[p[n, k]] - Min[p[n, k]], {n, 1, z}, {k, 1, PartitionsQ[n]}] %t A366614 m = Map[Sort, t] %t A366614 Column[m] %t A366614 Flatten[m] %Y A366614 Cf. A000009 (strict partitions), A117454 (frequencies). %K A366614 nonn,tabf %O A366614 1,6 %A A366614 _Clark Kimberling_, Oct 25 2023