A266318 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its west or north neighbor modulo n and the upper left element equal to 0.

1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 8, 35, 9, 1, 0, 30, 614, 1007, 44, 1, 0, 114, 14757, 203051, 54819, 265, 1, 0, 414, 389210, 51862494, 136141422, 4318217, 1854, 1, 0, 1561, 11164877, 15059945769, 444568980699, 155788295580, 458508379, 14833, 1, 0, 6227

Offset

1,9

Comments

Table starts

......1...........1...............1................1................1

......0...........0...............0................0................0

......1...........2...............8...............30..............114

......2..........35.............614............14757...........389210

......9........1007..........203051.........51862494......15059945769

.....44.......54819.......136141422.....444568980699.1690315388898808

....265.....4318217....155788295580.7767413422970183

...1854...458508379.278117694864594

..14833.62976460150

.133496

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Column 1 is A000166(n-1).

Sequence in context: A113080 A174420 A360604 * A011265 A357340 A356818

Adjacent sequences: A266315 A266316 A266317 * A266319 A266320 A266321

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 27 2015

Status

approved