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A266994 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its west, northeast or northwest neighbor modulo n and the upper left element equal to 0. 5
1, 1, 1, 1, 0, 2, 1, 0, 2, 6, 1, 0, 2, 23, 24, 1, 0, 2, 126, 907, 120, 1, 0, 2, 943, 67735, 51499, 720, 1, 0, 5, 8360, 6597969, 45049091, 4161843, 5040, 1, 0, 14, 87289, 763867475, 55872746031, 53041447974, 447189962, 40320, 1, 0, 44, 1073932, 98274481798 (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

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

.....2.........2...........2...........2.........2...........5......14.44

.....6........23.........126.........943......8360.......87289.1073932

....24.......907.......67735.....6597969.763867475.98274481798

...120.....51499....45049091.55872746031

...720...4161843.53041447974

..5040.447189962

.40320

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000142(n-1).

Sequence in context: A059084 A246117 A295688 * A267072 A070677 A269339

Adjacent sequences:  A266991 A266992 A266993 * A266995 A266996 A266997

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 08 2016

STATUS

approved

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Last modified July 16 23:49 EDT 2019. Contains 325092 sequences. (Running on oeis4.)