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A221245
T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 06 2013
STATUS
approved