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

1,4

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

Links

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

Example

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

Crossrefs

Column 2 is A049684

Sequence in context: A185362 A140239 A221200 * A340009 A021348 A346833

Adjacent sequences: A221242 A221243 A221244 * A221246 A221247 A221248

Keyword

nonn,tabl

Author

R. H. Hardin Jan 06 2013

Status

approved