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

1,1

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

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

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

Adjacent sequences: A200710 A200711 A200712 * A200714 A200715 A200716

Keyword

nonn,tabl

Author

R. H. Hardin Nov 20 2011

Status

approved