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

1,1

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, ...

Links

Table of n, a(n) for n=1..26.

Example

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.

Sequence in context: A194931 A195248 A229870 * A334859 A084110 A299788

Adjacent sequences: A202648 A202649 A202650 * A202652 A202653 A202654

Keyword

nonn,tabl,more

Author

R. H. Hardin, Dec 22 2011

Status

approved