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EXAMPLE
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T(4,10) = 3 because we have UDUUUDDD, UUUDDDUD and UUDUDUDD.
Triangle starts:
1;
0,1;
0,0,1,0,1;
0,0,0,1,0,2,0,1,0,1;
0,0,0,0,1,0,3,0,3,0,3,0,2,0,1,0,1;
0,0,0,0,0,1,0,4,0,6,0,7,0,7,0,5,0,5,0,3,0,2,0,1,0,1;
Transposed triangle (A239927) begins:
00: 1;
01: 0, 1;
02: 0, 0, 1;
03: 0, 0, 0, 1;
04: 0, 0, 1, 0, 1;
05: 0, 0, 0, 2, 0, 1;
06: 0, 0, 0, 0, 3, 0, 1;
07: 0, 0, 0, 1, 0, 4, 0, 1;
08: 0, 0, 0, 0, 3, 0, 5, 0, 1;
09: 0, 0, 0, 1, 0, 6, 0, 6, 0, 1;
10: 0, 0, 0, 0, 3, 0, 10, 0, 7, 0, 1;
11: 0, 0, 0, 0, 0, 7, 0, 15, 0, 8, 0, 1;
12: 0, 0, 0, 0, 2, 0, 14, 0, 21, 0, 9, 0, 1;
13: 0, 0, 0, 0, 0, 7, 0, 25, 0, 28, 0, 10, 0, 1;
14: 0, 0, 0, 0, 1, 0, 17, 0, 41, 0, 36, 0, 11, 0, 1;
15: 0, 0, 0, 0, 0, 5, 0, 35, 0, 63, 0, 45, 0, 12, 0, 1;
16: 0, 0, 0, 0, 1, 0, 16, 0, 65, 0, 92, 0, 55, 0, 13, 0, 1;
17: 0, 0, 0, 0, 0, 5, 0, 40, 0, 112, 0, 129, 0, 66, 0, 14, 0, 1;
18: 0, 0, 0, 0, 0, 0, 16, 0, 86, 0, 182, 0, 175, 0, 78, 0, 15, 0, 1;
19: 0, 0, 0, 0, 0, 3, 0, 43, 0, 167, 0, 282, 0, 231, 0, 91, 0, 16, 0, 1;
20: 0, 0, 0, 0, 0, 0, 14, 0, 102, 0, 301, 0, 420, 0, 298, 0, 105, 0, 17, 0, 1;
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