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A267163 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its west, southwest or northwest neighbor modulo n and the upper left element equal to 0. 5
1, 1, 1, 1, 0, 2, 1, 0, 0, 6, 1, 0, 1, 8, 24, 1, 0, 15, 260, 411, 120, 1, 0, 65, 5826, 68482, 30362, 720, 1, 0, 202, 66670, 8718817, 41883832, 2742512, 5040, 1, 0, 537, 1168252, 1305588167, 64580898272, 47453493386, 317221226, 40320, 1, 0, 1559, 31032592 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Table starts

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

.....1.........0...........0...........0..........0............0........0....0

.....2.........0...........1..........15.........65..........202......537.1559

.....6.........8.........260........5826......66670......1168252.31032592

....24.......411.......68482.....8718817.1305588167.272693813849

...120.....30362....41883832.64580898272

...720...2742512.47453493386

..5040.317221226

.40320

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000142(n-1).

Sequence in context: A185663 A262125 A105868 * A265163 A057275 A057271

Adjacent sequences:  A267160 A267161 A267162 * A267164 A267165 A267166

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 11 2016

STATUS

approved

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Last modified January 27 03:09 EST 2022. Contains 350601 sequences. (Running on oeis4.)