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A266921 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, southwest or southeast neighbor modulo n and the upper left element equal to 0. 6
1, 1, 0, 1, 0, 1, 1, 0, 4, 2, 1, 0, 8, 23, 9, 1, 0, 22, 376, 398, 44, 1, 0, 54, 7137, 40298, 23432, 265, 1, 0, 142, 147378, 5336960, 25499147, 1841274, 1854, 1, 0, 368, 3267167, 807737754, 39048984268, 28504890050, 193070360, 14833, 1, 0, 974, 75854154 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,9

COMMENTS

Table starts

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

.....0.........0...........0...........0.........0............0........0...0.0

.....1.........4...........8..........22........54..........142......368.974

.....2........23.........376........7137....147378......3267167.75854154

.....9.......398.......40298.....5336960.807737754.133402295812

....44.....23432....25499147.39048984268

...265...1841274.28504890050

..1854.193070360

.14833

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000166(n-1).

Sequence in context: A195152 A085668 A256702 * A248721 A110324 A266861

Adjacent sequences:  A266918 A266919 A266920 * A266922 A266923 A266924

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 06 2016

STATUS

approved

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Last modified January 20 23:47 EST 2021. Contains 340332 sequences. (Running on oeis4.)