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A267546 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west or southeast neighbor modulo n and the upper left element equal to 0. 4
1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 27, 9, 1, 0, 1, 255, 555, 44, 1, 0, 1, 3527, 55971, 24981, 265, 1, 0, 1, 51759, 7122569, 27018228, 1825761, 1854, 1, 0, 1, 852932, 1036887990, 39459215132, 26810032261, 184975696, 14833, 1, 0, 1, 14954188, 164245452936 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,10

COMMENTS

Table starts

.....1.........1...........1...........1..........1............1........1.1.1.1

.....0.........0...........0...........0..........0............0........0.0.0

.....1.........1...........1...........1..........1............1........1.1

.....2........27.........255........3527......51759.......852932.14954188

.....9.......555.......55971.....7122569.1036887990.164245452936

....44.....24981....27018228.39459215132

...265...1825761.26810032261

..1854.184975696

.14833

LINKS

Table of n, a(n) for n=1..50.

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000166(n-1).

Sequence in context: A334159 A326474 A266886 * A228817 A110399 A193275

Adjacent sequences:  A267543 A267544 A267545 * A267547 A267548 A267549

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 16 2016

STATUS

approved

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Last modified July 30 19:15 EDT 2021. Contains 346359 sequences. (Running on oeis4.)