A265192 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal or antidiagonal neighbors and new values introduced sequentially from 0.

1, 0, 1, 0, 1, 1, 0, 0, 5, 1, 0, 1, 17, 36, 1, 0, 0, 42, 774, 329, 1, 0, 1, 155, 20592, 76035, 3655, 1, 0, 0, 511, 583806, 20957398, 10866362, 47844, 1, 0, 1, 2023, 17355854, 6394366422, 38833756515, 2130866037, 721315, 1, 0, 0, 7760, 531710144

Offset: 1

Author

R. H. Hardin, Dec 04 2015

Keywords

• nonn
• tabl

Comments

Table starts

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

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

.1........5...........17..............42.............155................511

.1.......36..........774...........20592..........583806...........17355854

.1......329........76035........20957398......6394366422......2057050979371

.1.....3655.....10866362.....38833756515.157027988934320.683255971286971494

.1....47844...2130866037.117650546564305

.1...721315.551607137250

.1.12310199

Examples

			Some solutions for n=4 k=4
..0..1..2..3....0..1..0..2....0..1..2..3....0..1..2..3....0..1..2..1
..2..3..0..2....3..2..1..3....0..3..1..0....3..0..2..1....2..0..3..0
..1..3..0..1....0..3..2..1....2..3..1..2....2..0..3..2....3..1..2..3
..1..3..0..2....0..1..3..2....2..3..1..0....1..0..3..1....2..0..1..3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..61

Crossrefs

Column 2 is A000806.