A200272

T(n,k) is the number of 0..k arrays x(0..n+1) of n+2 elements with zero n-1st differences.

1, 1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 5, 4, 3, 2, 1, 6, 7, 6, 5, 2, 1, 7, 10, 9, 8, 5, 2, 1, 8, 13, 14, 13, 8, 5, 2, 1, 9, 16, 25, 18, 13, 8, 7, 2, 1, 10, 21, 36, 37, 26, 21, 16, 3, 2, 1, 11, 26, 47, 64, 53, 34, 31, 4, 3, 2, 1, 12, 31, 64, 97, 112, 53, 52, 19, 10, 7, 2, 1, 13, 36, 87, 140, 197, 118, 83

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