A202889 T(n,k)=Number of nXk 0..2 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.

1, 3, 3, 9, 35, 9, 22, 265, 265, 22, 51, 1849, 5493, 1849, 51, 121, 13345, 109119, 109119, 13345, 121, 292, 96941, 2223723, 6092872, 2223723, 96941, 292, 704, 701275, 45332961, 348151747, 348151747, 45332961, 701275, 704, 1691, 5071167, 922352267

Offset: 1

Author

R. H. Hardin, Dec 25 2011

Keywords

• nonn
• tabl

Examples

			Table starts
...1.......3...........9.............22.................51
...3......35.........265...........1849..............13345
...9.....265........5493.........109119............2223723
..22....1849......109119........6092872..........348151747
..51...13345.....2223723......348151747........56006562037
.121...96941....45332961....19914296913......9024909392725
.292..701275...922352267..1137589582096...1452080571954205
.704.5071167.18770352883.64992189188797.233641209300452607
Some solutions for n=3 k=3
..1..2..2....1..1..2....2..1..1....2..2..1....2..2..0....1..2..2....2..1..0
..0..0..2....2..2..2....2..0..1....1..2..1....0..0..0....2..2..0....2..1..1
..0..1..2....2..0..0....1..0..1....0..1..1....2..2..1....0..1..1....0..2..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..199