A200713 T(n,k)=Number of nXk 0..7 arrays with every row and column running average nondecreasing rightwards and downwards.

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

Author

R. H. Hardin Nov 20 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..59