A197889 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 0,2,1,1,1 for x=0,1,2,3,4.

1, 0, 0, 1, 4, 1, 2, 3, 3, 2, 1, 14, 6, 14, 1, 1, 18, 47, 47, 18, 1, 3, 43, 77, 155, 77, 43, 3, 3, 78, 196, 835, 835, 196, 78, 3, 2, 154, 529, 2263, 2730, 2263, 529, 154, 2, 4, 305, 1637, 10827, 17890, 17890, 10827, 1637, 305, 4, 6, 572, 4235, 38938, 92843, 129294, 92843

Offset: 1

Author

R. H. Hardin Oct 19 2011

Keywords

• nonn
• tabl

Comments

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

.0...4.....3.....14.......18........43..........78.........154.........305

.1...3.....6.....47.......77.......196.........529........1637........4235

.2..14....47....155......835......2263.......10827.......38938......157178

.1..18....77....835.....2730.....17890.......92843......567991.....3000116

.1..43...196...2263....17890....129294.....1134527.....9389938....74334188

.3..78...529..10827....92843...1134527....13253562...145351090..1728849664

.3.154..1637..38938...567991...9389938...145351090..2512321052.39163260138

.2.305..4235.157178..3000116..74334188..1728849664.39163260138

.4.572.11211.654028.17111462.612587633.19259087568

Examples

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

Links

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

Crossrefs

Column 1 is A017817(n+3)