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EXAMPLE
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T(n,k) starts:
1;
1, 1;
1, 2, 2;
1, 3, 6, 5;
1, 4, 12, 20, 15;
1, 5, 20, 50, 75, 52;
1, 6, 30, 100, 225, 312, 203;
1, 7, 42, 175, 525, 1092, 1421, 877;
1, 8, 56, 280, 1050, 2912, 5684, 7016, 4140;
1, 9, 72, 420, 1890, 6552, 17052, 31572, 37260, 21147;
Building row sums Sum_{c=1..k} T(n,c), the following array results:
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...
1, 2, 2, 2, 2, 2, 2, 2, 2, 2, ...
1, 3, 5, 5, 5, 5, 5, 5, 5, 5, ...
1, 4, 10, 15, 15, 15, 15, 15, 15, 15, ...
1, 5, 17, 37, 52, 52, 52, 52, 52, 52, ...
1, 6, 26, 76, 151, 203, 203, 203, 203, 203, ...
1, 7, 37, 137, 362, 674, 877, 877, 877, 877, ...
1, 8, 50, 225, 750, 1842, 3263, 4140, 4140, 4140, ...
1, 9, 65, 345, 1395, 4307, 9991, 17007, 21147, 21147, ...
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