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A267222 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its west, northeast or southeast neighbor modulo n and the upper left element equal to 0. 4
1, 1, 1, 1, 0, 2, 1, 0, 3, 6, 1, 0, 8, 35, 24, 1, 0, 17, 458, 889, 120, 1, 0, 34, 7137, 63600, 52759, 720, 1, 0, 68, 127262, 6574092, 46185656, 4249084, 5040, 1, 0, 164, 2409733, 807737754, 57528166669, 53918229032, 454920734, 40320, 1, 0, 385, 47615756 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Table starts

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

.....1.........0...........0...........0.........0............0........0...0.0

.....2.........3...........8..........17........34...........68......164.385

.....6........35.........458........7137....127262......2409733.47615756

....24.......889.......63600.....6574092.807737754.109215090103

...120.....52759....46185656.57528166669

...720...4249084.53918229032

..5040.454920734

.40320

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000142(n-1).

Sequence in context: A342237 A339030 A059297 * A077874 A286274 A230360

Adjacent sequences:  A267219 A267220 A267221 * A267223 A267224 A267225

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 12 2016

STATUS

approved

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Last modified September 23 16:48 EDT 2021. Contains 347618 sequences. (Running on oeis4.)