OFFSET
1,2
COMMENTS
T(n,k) is also the positive integer whose partition into k consecutive parts is associated to the k-th vertex, from left to right, of the largest Dyck path of the symmetric representation of sigma(n). For more information see A237593.
Also this triangle can be constructed replacing every zero of triangle A285891 with the previous positive integer from the same column.
EXAMPLE
Triangle begins:
1;
2;
3, 3;
4, 3;
5, 5;
6, 5, 6;
7, 7, 6;
8, 7, 6;
9, 9, 9;
10, 9, 9, 10;
11, 11, 9, 10;
12, 11, 12, 10;
13, 13, 12, 10;
14, 13, 12, 14;
15, 15, 15, 14, 15;
16, 15, 15, 14, 15;
17, 17, 15, 14, 15;
18, 17, 18, 18, 15;
19, 19, 18, 18, 15;
20, 19, 18, 18, 20;
21, 21, 21, 18, 20, 21;
22, 21, 21, 22, 20, 21;
23, 23, 21, 22, 20, 21;
24, 23, 24, 22, 20, 21;
25, 25, 24, 22, 25, 21;
26, 25, 24, 26, 25, 21;
27, 27, 27, 26, 25, 27;
28, 27, 27, 26, 25, 27, 28;
...
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Nov 09 2019
STATUS
approved