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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.
4
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, ...
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
KEYWORD
nonn,tabl,more
AUTHOR
R. H. Hardin, Dec 22 2011
STATUS
approved