A197280 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 2,0,1,1,1 for x=0,1,2,3,4.

1, 3, 3, 4, 9, 4, 5, 14, 14, 5, 9, 29, 34, 29, 9, 16, 67, 92, 92, 67, 16, 25, 134, 317, 627, 317, 134, 25, 39, 275, 888, 2731, 2731, 888, 275, 39, 64, 583, 2626, 11850, 16890, 11850, 2626, 583, 64, 105, 1210, 8078, 57137, 114205, 114205, 57137, 8078, 1210, 105, 169

Offset: 1

Author

R. H. Hardin Oct 12 2011

Keywords

• nonn
• tabl

Comments

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

Table starts

...1....3.....4.......5.........9..........16...........25.............39

...3....9....14......29........67.........134..........275............583

...4...14....34......92.......317.........888.........2626...........8078

...5...29....92.....627......2731.......11850........57137.........276689

...9...67...317....2731.....16890......114205.......886737........6017949

..16..134...888...11850....114205.....1276986.....13500114......135563958

..25..275..2626...57137....886737....13500114....209785488.....3332948197

..39..583..8078..276689...6017949...135563958...3332948197....84453386767

..64.1210.24103.1344992..40918349..1464662469..55701159000..2019696975436

.105.2511.72107.6445595.290053910.15975572837.888511016495.47417406612765

Examples

			Some solutions containing all values 0 to 4 for n=6 k=4
..2..1..0..1....1..0..1..2....1..0..0..1....1..0..1..1....1..0..1..2
..1..4..1..1....1..1..4..1....3..1..3..1....3..1..1..0....1..1..4..1
..0..1..3..0....0..3..1..0....1..4..1..0....1..4..1..0....0..3..1..0
..0..3..1..0....0..1..1..0....0..1..3..0....0..1..3..1....0..1..3..1
..0..1..1..0....0..3..1..0....0..1..1..0....1..1..0..1....1..1..0..1
..1..2..2..1....0..1..1..0....1..2..2..1....2..1..0..1....2..1..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..180

Crossrefs

Column 1 is A195971