A216612 T(n,k)=Number of horizontal, diagonal and antidiagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order.

1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 5, 2, 2, 5, 15, 20, 15, 5, 2, 15, 41, 203, 67, 52, 5, 5, 52, 716, 3429, 4140, 1335, 203, 15, 5, 203, 2847, 83440, 83437, 115975, 6097, 877, 15, 15, 877, 83440, 2711768, 18171918, 20880505, 4213597, 192713, 4140, 52, 15, 4140

Offset: 1

Author

R. H. Hardin Sep 10 2012

Keywords

• nonn
• tabl

Comments

Table starts

...1......1.........1............1..............1................2

...1......1.........1............2..............5...............15

...1......2.........2...........15.............41..............716

...2......5........20..........203...........3429............83440

...2.....15........67.........4140..........83437.........18171918

...5.....52......1335.......115975.......20880505.......6423127757

...5....203......6097......4213597......942420901....3376465219485

..15....877....192713....190899322...484968748793.2486327138729353

..15...4140...1094076..10480142147.33862631596393

..52..21147..49055292.682076806159

..52.115975.329588907

.203.678570

Examples

			Some solutions for n=4 k=4
..x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..1
..2..x..3..x....2..x..3..x....1..x..2..x....2..x..3..x....1..x..2..x
..x..4..x..2....x..1..x..2....x..0..x..3....x..4..x..0....x..3..x..4
..5..x..6..x....4..x..3..x....2..x..1..x....2..x..5..x....0..x..2..x
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..96

Crossrefs

Column 2 is A000110(n-1)

Column 4 is A020557(n-1)

Column 6 is A208051

Row 2 is A000110(n-2)

Row 4 is A216462

Row 6 is A216464

Even squares: A216460