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EXAMPLE
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A(4,1) = 4: [1,1,1,1].
A(3,2) = 20 = 3+3+2+3+2+2+2+3: [1,1,1], [2,1,1], [1,2,1], [2,2,1], [1,1,2], [2,1,2], [1,2,2], [2,2,2].
A(2,3) = 15 = 2+2+2+1+2+2+1+1+2: [1,1], [2,1], [3,1], [1,2], [2,2], [3,2], [1,3], [2,3], [3,3].
A(1,4) = 4 = 1+1+1+1: [1], [2], [3], [4].
Square array A(n,k) begins:
0, 0, 0, 0, 0, 0, 0, 0, ...
0, 1, 2, 3, 4, 5, 6, 7, ...
0, 2, 7, 15, 26, 40, 57, 77, ...
0, 3, 20, 63, 144, 275, 468, 735, ...
0, 4, 52, 243, 736, 1750, 3564, 6517, ...
0, 5, 128, 891, 3584, 10625, 25920, 55223, ...
0, 6, 304, 3159, 16896, 62500, 182736, 453789, ...
0, 7, 704, 10935, 77824, 359375, 1259712, 3647119, ...
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