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A266878 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, southwest or northwest neighbor modulo n and the upper left element equal to 0. 5
1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 7, 9, 1, 0, 5, 76, 351, 44, 1, 0, 11, 943, 33529, 19773, 265, 1, 0, 26, 12549, 4555903, 22720474, 1567330, 1854, 1, 0, 46, 205452, 763867475, 36358021513, 25455579224, 166758092, 14833, 1, 0, 121, 3751651, 138332628493 (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...........2...........5........11...........26......46.121

.....2.........7..........76.........943.....12549.......205452.3751651

.....9.......351.......33529.....4555903.763867475.138332628493

....44.....19773....22720474.36358021513

...265...1567330.25455579224

..1854.166758092

.14833

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000166(n-1).

Sequence in context: A070677 A269339 A029584 * A199469 A266832 A228817

Adjacent sequences:  A266875 A266876 A266877 * A266879 A266880 A266881

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 05 2016

STATUS

approved

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Last modified February 17 17:27 EST 2018. Contains 299296 sequences. (Running on oeis4.)