A197537 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 2,0,1,0,0 for x=0,1,2,3,4.

1, 3, 3, 4, 9, 4, 5, 16, 16, 5, 9, 33, 56, 33, 9, 16, 73, 216, 216, 73, 16, 25, 160, 868, 1419, 868, 160, 25, 39, 361, 3500, 9373, 9373, 3500, 361, 39, 64, 835, 14085, 62586, 107655, 62586, 14085, 835, 64, 105, 1966, 56842, 423085, 1220630, 1220630, 423085, 56842

Offset: 1

Author

R. H. Hardin Oct 16 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 0's, every 4 is next to 4 0's

Table starts

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

...3....9.....16........33..........73...........160.............361

...4...16.....56.......216.........868..........3500...........14085

...5...33....216......1419........9373.........62586..........423085

...9...73....868......9373......107655.......1220630........14056707

..16..160...3500.....62586.....1220630......23325250.......454280983

..25..361..14085....423085....14056707.....454280983.....14991391782

..39..835..56842...2879723...162042137....8844380028....493785636151

..64.1966.229706..19671764..1874230689..172982554332..16343961543732

.105.4703.928664.134643523.21698542215.3386294190736.541269402906501

Examples

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

Links

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

Crossrefs

Column 1 is A195971