OFFSET
1,8
EXAMPLE
The irregular triangle begins:
1;
0;
0, 1;
0, 1;
0, 2;
0, 1, 1;
0, 1, 1;
0, 0, 2;
0, 0, 3;
0, 0, 4, 1;
0, 0, 5, 1;
0, 0, 7, 2;
0, 0, 7, 3;
0, 0, 8, 5;
0, 0, 8, 6, 1;
...
T(11,3) = 5 since we have: 1+2+8, 1+3+7, 1+4+6, 2+3+6, 2+4+5.
MATHEMATICA
Flatten[Table[Length[Select[IntegerPartitions[n, All, Range[k^2]], UnsameQ@@# &&Length[#]==k&]], {n, 23}, {k, Floor[(Sqrt[8n+1]-1)/2]}]]
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Stefano Spezia, Apr 11 2023
STATUS
approved