A208392 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.

1, 2, 2, 5, 14, 5, 14, 117, 122, 14, 41, 1017, 3042, 1094, 41, 122, 8838, 76806, 79092, 9842, 122, 365, 76806, 1937736, 5800644, 2056392, 88574, 365, 1094, 667476, 48890520, 424785708, 438083928, 53466192, 797162, 1094, 3281, 5800644

Offset: 1

Author

R. H. Hardin Feb 25 2012

Keywords

• nonn
• tabl

Comments

Table starts

....1.......2...........5..............14.................41

....2......14.........117............1017...............8838

....5.....122........3042...........76806............1937736

...14....1094.......79092.........5800644..........424785708

...41....9842.....2056392.......438083928........93120350760

..122...88574....53466192.....33085555344.....20413586117376

..365..797162..1390120992...2498731184736...4475009970818208

.1094.7174454.36143145792.188712490047552.980999326809336384

Examples

			Some solutions for n=4 k=3
..0..0..1....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..1
..2..0..2....0..1..2....1..1..1....0..1..2....1..2..1....2..0..2....2..0..2
..1..0..2....0..0..0....1..0..0....2..0..0....0..2..2....2..2..0....0..2..2
..1..2..1....1..2..0....1..2..2....1..0..1....0..0..2....0..2..1....2..0..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..301

Crossrefs

Column 1 is A007051(n-1)

Column 2 is A199560(n-1)

Row 1 is A007051(n-1)