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.

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

Author

R. H. Hardin, Dec 03 2015

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..60

Crossrefs

Row 3 is A199128.

Row 4 is A199252.