A196430 T(n,k) = Number of n X k 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors less than itself.

1, 3, 3, 5, 23, 5, 11, 123, 123, 11, 26, 809, 1377, 809, 26, 55, 5274, 27583, 27583, 5274, 55, 119, 33923, 452252, 1436945, 452252, 33923, 119, 263, 219807, 7435275, 67917500, 67917500, 7435275, 219807, 263, 573, 1424725, 126914055, 3308601959

Offset

1,2

Comments

Table starts

....1........3............5................11..................26

....3.......23..........123...............809................5274

....5......123.........1377.............27583..............452252

...11......809........27583...........1436945............67917500

...26.....5274.......452252..........67917500..........9212529925

...55....33923......7435275........3308601959.......1248257908304

..119...219807....126914055......161187862053.....170481239106658

..263..1424725...2139217341.....7798861912989...23253883615868280

..573..9226721..36014080137...378707068543349.3174860835433669171

.1248.59782080.607371115906.18386677122989718

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

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

Crossrefs

Sequence in context: A215912 A157241 A365083 * A366594 A265878 A201496

Adjacent sequences: A196427 A196428 A196429 * A196431 A196432 A196433

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 02 2011

Status

approved