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A200713
T(n,k)=Number of nXk 0..7 arrays with every row and column running average nondecreasing rightwards and downwards
8
8, 36, 36, 154, 540, 154, 638, 7370, 7370, 638, 2583, 95567, 317656, 95567, 2583, 10283, 1196837, 12904303, 12904303, 1196837, 10283, 40437, 14599041, 501622631, 1630978608, 501622631, 14599041, 40437, 157577, 174544948, 18836416881
OFFSET
1,1
COMMENTS
Table starts
.......8..........36............154..............638..............2583
......36.........540...........7370............95567...........1196837
.....154........7370.........317656.........12904303.........501622631
.....638.......95567.......12904303.......1630978608......195675787426
....2583.....1196837......501622631.....195675787426....71952946981858
...10283....14599041....18836416881...22525604271509.25239894694049776
...40437...174544948...688892422045.2512851095363929
..157577..2054226643.24679562321720
..609826.23879098633
.2347039
LINKS
EXAMPLE
Some solutions for n=3 k=3
..0..0..3....0..0..3....0..4..2....0..0..2....0..0..4....0..2..6....0..0..3
..0..2..3....1..4..3....2..6..5....0..4..7....2..3..6....0..6..6....2..2..6
..5..6..7....1..5..4....1..7..6....0..5..5....1..7..5....0..7..7....1..5..6
CROSSREFS
Sequence in context: A339325 A089698 A133887 * A184294 A057345 A048740
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 20 2011
STATUS
approved