A035288 -id:A035288 - cp's OEIS frontend

A202651 Table read by downward antidiagonals: T(n,k) is the number of n X n 0..k arrays with no row or column sum equal to the previous one.

2, 3, 8, 4, 52, 126, 5, 184, 8460, 10016, 6, 480, 143028, 14394092, 3648810, 7, 1040, 1217196, 1960824272, 231197740500, 5616280768, 8, 1988, 6835050, 82673548892, 443471777729100

Offset: 1

R. H. Hardin, Dec 22 2011

Table starts
           2.            3,               4,           5,       6,    7, 8, ...
           8,           52,             184,         480,    1040, 1988, ...
         126,         8460,          143028,     1217196, 6835050, ...
       10016,     14394092,      1960824272, 82673548892, ...
     3648810, 231197740500, 443471777729100, ...
  5616280768, ...

			Some solutions for n=3, k=3:
  2 0 3   2 0 1   0 0 3   0 1 3   0 0 3   1 2 1   2 0 3
  1 0 0   0 1 3   3 0 2   1 2 3   0 3 2   0 2 3   2 0 0
  3 1 0   2 0 0   0 0 1   0 1 3   2 1 0   0 2 1   0 1 3

Rows n=2..4: A035288, A202652, A202653.

Column 3 is A202631.

cp's OEIS Frontend

A202651 Table read by downward antidiagonals: T(n,k) is the number of n X n 0..k arrays with no row or column sum equal to the previous one.

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