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EXAMPLE
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The table begins:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...
10, 48, 60, 68, 80, 92, 100, 124, 128, 156, ...
45, 276, 321, 368, 384, 429, 456, 554, 702, 803, ...
136, 928, 1040, 1168, 1296, 1388, 1656, 1696, 1858, 2876, ...
325, 2349, 2575, 2825, 3075, 3627, 3935, 4243, 4415, 7740, ...
666, 4984, 5382, 5816, 6250, 8456, 9188, 9576, 10154, 14204, ...
1225, 9391, 10030, 10718, 11406, 15006, 16260, 16737, 17627, 27701, ...
2080, 16228, 17190, 18216, 19242, 24856, 26856, 27392, 28692, 49240, ...
3321, 26257, 27636, 29096, 30556, 38998, 42010, 42561, 44383, 81527, ...
5050, 40344, 42246, 44248, 46250, 58560, 62892, 63400, 65870, 127660, ...
7381, 59459, 62002, 64666, 67330, 84806, 90808, 91201, 94459, 191129, ...
...
.
a(2,1) = 10 as the first square of size 2 X 2 is placed such that it covers the numbers 1,2,3,4, which sum to 10. This is the minimum possible sum.
a(2,2) = 48 as the second square of size 2 X 2 is placed such that it covers the numbers 5,6,18,19, which sum to 48. This is the minimum possible sum for such a square which does not use the previously covered numbers 1,2,3,4.
a(2,3) = 60 as the third square of size 2 X 2 is placed such that it covers the numbers 7,8,22,23, which sum to 60. This is the minimum possible sum for such a square which does not use the previously covered numbers 1,2,3,4,5,6,18,19.
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