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

Author

R. H. Hardin, Dec 22 2011

Keywords

• nonn
• tabl
• more

Comments

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, ...

Examples

			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
		

Crossrefs

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

Column 3 is A202631.