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A266291 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west or northeast neighbor modulo n and the upper left element equal to 0. 6
1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 5, 9, 9, 1, 0, 12, 91, 435, 44, 1, 0, 33, 1233, 40727, 20375, 265, 1, 0, 97, 18827, 4947399, 20874574, 1624164, 1854, 1, 0, 278, 323444, 697988671, 30003358804, 23274835718, 170338575, 14833, 1, 0, 821, 5826961, 108770442228 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,9

COMMENTS

Table starts

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

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

......1...........2..............5..............12.............33...........97

......2...........9.............91............1233..........18827.......323444

......9.........435..........40727.........4947399......697988671.108770442228

.....44.......20375.......20874574.....30003358804.51630917278193

....265.....1624164....23274835718.485721755903466

...1854...170338575.39868129982498

..14833.23301045360

.133496

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

..0..0..3..2....0..3..3..2....0..0..0..2....0..0..3..1....0..2..1..0

..0..2..2..1....3..1..1..0....2..2..2..1....0..2..1..3....0..0..3..3

..2..1..1..1....1..0..3..2....1..1..0..3....2..1..3..2....2..2..1..3

..0..3..3..3....0..2..2..1....1..3..3..3....0..3..2..1....1..1..3..2

CROSSREFS

Column 1 is A000166(n-1).

Sequence in context: A189233 A242153 A065066 * A064045 A258829 A110314

Adjacent sequences:  A266288 A266289 A266290 * A266292 A266293 A266294

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 26 2015

STATUS

approved

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Last modified September 23 13:34 EDT 2020. Contains 337310 sequences. (Running on oeis4.)