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EXAMPLE
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T(5,0) = 7: [1,1,1,1,1], [1,1,1,1,2], [1,1,1,2,2], [1,1,1,2,3], [1,1,2,2,3], [1,1,2,3,4], [1,2,3,4,5].
T(5,1) = 16: [1,1,1,2,1], [1,1,2,1,1], [1,1,2,1,2], [1,1,2,1,3], [1,1,2,2,1], [1,1,2,3,1], [1,1,2,3,2], [1,2,1,1,1], [1,2,1,1,2], [1,2,1,1,3], [1,2,1,2,3], [1,2,1,3,4], [1,2,3,1,1], [1,2,3,1,2], [1,2,3,1,4], [1,2,3,4,1].
T(5,2) = 3: [1,2,1,2,1], [1,2,1,3,1], [1,2,1,3,2].
Triangle starts:
00: 1;
01: 1;
02: 2;
03: 3, 1;
04: 5, 5;
05: 7, 16, 3;
06: 11, 43, 21, 1;
07: 15, 99, 101, 17;
08: 22, 215, 373, 145, 9;
09: 30, 430, 1174, 836, 146, 4;
10: 42, 834, 3337, 3846, 1324, 112, 1;
11: 56, 1529, 8642, 15002, 8786, 1615, 66;
12: 77, 2765, 21148, 52132, 47013, 15403, 1582, 32;
13: 101, 4792, 48713, 164576, 214997, 112106, 21895, 1310, 14;
14: 135, 8216, 108147, 484609, 874413, 672015, 215849, 26159, 932, 5;
...
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