A221328 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

1, 3, 1, 7, 17, 1, 17, 119, 99, 1, 41, 866, 2008, 577, 1, 99, 6328, 46105, 33873, 3363, 1, 239, 46211, 1010078, 2460824, 571358, 19601, 1, 577, 337274, 22181855, 162430981, 131347807, 9637322, 114243, 1, 1393, 2460918, 487335857, 10794156688

Offset: 1

Author

R. H. Hardin Jan 11 2013

Keywords

• nonn
• tabl

Comments

Table starts

.1........3............7................17...................41

.1.......17..........119...............866.................6328

.1.......99.........2008.............46105..............1010078

.1......577........33873...........2460824............162430981

.1.....3363.......571358.........131347807..........26135748494

.1....19601......9637322........7010554450........4205264399891

.1...114243....162555929......374176705928......676612123702617

.1...665857...2741882383....19970973695923...108863121975329470

.1..3880899..46248186229..1065911268786396.17515379016294357354

.1.22619537.780082534460.56890876705125765

Examples

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

Links

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

Crossrefs

Column 2 is A001541

Row 1 is A001333