A221245 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.

0, 1, 0, 2, 9, 0, 4, 50, 64, 0, 8, 484, 1056, 441, 0, 16, 3864, 45369, 21660, 3025, 0, 32, 32400, 1337130, 4096576, 441720, 20736, 0, 64, 267264, 44315649, 438377904, 367565584, 8997120, 142129, 0, 128, 2214144, 1404725868, 56606878084

Offset: 1

Author

R. H. Hardin Jan 06 2013

Keywords

• nonn
• tabl

Comments

Table starts

.0........1...........2...............4.................8................16

.0........9..........50.............484..............3864.............32400

.0.......64........1056...........45369...........1337130..........44315649

.0......441.......21660.........4096576.........438377904.......56606878084

.0.....3025......441720.......367565584......142283547000....71306050492681

.0....20736.....8997120.....32940435025....46087307409528.89545789526100625

.0...142129...183206016...2951293792489.14921719105582926

.0...974169..3730330800.264404315544196

.0..6677056.75953515968

.0.45765225

Even columns are perfect squares

Examples

			Some solutions for n=3 k=4
..1..0..1..0....0..0..3..1....0..2..0..0....1..2..0..1....0..1..1..0
..1..1..1..2....0..4..2..0....0..1..4..2....0..0..5..2....0..4..1..0
..1..2..1..1....1..1..0..0....0..0..2..1....0..1..0..0....2..0..2..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..71

Crossrefs

Column 2 is A049684