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A265170
T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal or vertical neighbors and new values introduced sequentially from 0.
5
1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 6, 21, 1, 0, 1, 19, 447, 186, 1, 0, 1, 70, 11223, 40476, 2113, 1, 0, 1, 264, 305863, 10723968, 5693966, 27856, 1, 0, 1, 1038, 8862785, 3152470670, 19442592272, 1109065142, 422481, 1, 0, 1, 4155, 267827143, 995141926013
OFFSET
1,9
COMMENTS
Table starts
.1.......0............0..............0..............0............0
.1.......1............1..............1..............1............1
.1.......2............6.............19.............70..........264
.1......21..........447..........11223.........305863......8862785
.1.....186........40476.......10723968.....3152470670.995141926013
.1....2113......5693966....19442592272.75718556192262
.1...27856...1109065142.58092310437590
.1..422481.286017249449
.1.7241480
.1
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..1..2..1....0..1..2..1....0..1..2..0....0..1..2..3....0..1..0..2
..3..0..3..2....3..0..1..2....1..0..1..3....2..3..0..1....3..2..1..3
..0..1..2..3....2..3..2..3....2..3..0..2....0..1..3..2....2..0..3..0
..3..2..1..0....0..1..3..0....3..2..3..1....3..2..0..1....3..1..2..1
CROSSREFS
Row 3 is A199128.
Row 4 is A199252.
Sequence in context: A011126 A266854 A326882 * A217653 A331161 A176887
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 03 2015
STATUS
approved