A196685 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,0,1,2,3 for x=0,1,2,3,4.

1, 3, 3, 4, 9, 4, 5, 20, 20, 5, 9, 61, 58, 61, 9, 16, 189, 292, 292, 189, 16, 25, 544, 1235, 2245, 1235, 544, 25, 39, 1629, 5186, 15395, 15395, 5186, 1629, 39, 64, 4973, 22461, 109528, 188078, 109528, 22461, 4973, 64, 105, 15040, 96256, 796557, 2169685

Offset: 1

Author

R. H. Hardin Oct 05 2011

Keywords

• nonn
• tabl

Comments

Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 2's, every 4 is next to 4 3's

Table starts

...1.....3.......4.........5...........9............16..............25

...3.....9......20........61.........189...........544............1629

...4....20......58.......292........1235..........5186...........22461

...5....61.....292......2245.......15395........109528..........796557

...9...189....1235.....15395......188078.......2169685........25142624

..16...544....5186....109528.....2169685......39696088.......741925729

..25..1629...22461....796557....25142624.....741925729.....23029545105

..39..4973...96256...5702355...291420839...14189246566....718199634805

..64.15040..413032..40479328..3417608122..269528695666..22138818455076

.105.45739.1780597.289195575.40048090008.5096101360077.682005890331480

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..144

Crossrefs

Column 1 is A195971

Column 2 is A196212