A203057 T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor

1, 6, 6, 36, 286, 36, 161, 7820, 7820, 161, 636, 177290, 1055370, 177290, 636, 2507, 4078368, 125838722, 125838722, 4078368, 2507, 10213, 96511488, 15517802234, 78243755382, 15517802234, 96511488, 10213, 42182, 2282090278, 1938869645102

Offset

1,2

Comments

Table starts

.....1...........6................36.....................161

.....6.........286..............7820..................177290

....36........7820...........1055370...............125838722

...161......177290.........125838722.............78243755382

...636.....4078368.......15517802234..........50221974160730

..2507....96511488.....1938869645102.......32577032228308750

.10213..2282090278...241217648933826....21056749683696452598

.42182.53729637298.29971627049343224.13600371239866122117034

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for n=5 k=3
..2..2..5....1..5..2....3..1..4....4..3..2....4..0..4....1..5..0....3..3..2
..4..1..5....2..5..2....5..2..4....4..0..3....4..4..5....0..5..2....3..3..3
..4..2..3....5..3..4....5..3..0....3..0..3....4..1..5....3..4..3....0..4..1
..4..3..1....5..0..5....3..1..1....3..0..4....2..0..2....1..0..3....3..4..4
..2..3..2....0..0..5....5..5..4....3..5..5....0..3..3....5..5..0....0..5..5

Crossrefs

Sequence in context: A257626 A222340 A215270 * A165424 A244957 A186982

Adjacent sequences: A203054 A203055 A203056 * A203058 A203059 A203060

Keyword

nonn,tabl

Author

R. H. Hardin Dec 28 2011

Status

approved