A241130 T(n,k)=Number of nXk 0..2 arrays with no element equal to exactly two horizontal and vertical neighbors, with new values 0..2 introduced in row major order.

1, 2, 2, 4, 9, 4, 11, 54, 54, 11, 30, 325, 723, 325, 30, 82, 1965, 9773, 9773, 1965, 82, 224, 11876, 132369, 295584, 132369, 11876, 224, 612, 71793, 1792237, 8974020, 8974020, 1792237, 71793, 612, 1672, 434007, 24269723, 272418756, 611547441, 272418756

Offset: 1

Author

R. H. Hardin, Apr 16 2014

Keywords

• nonn
• tabl

Comments

Table starts

....1........2...........4..............11................30.................82

....2........9..........54.............325..............1965..............11876

....4.......54.........723............9773............132369............1792237

...11......325........9773..........295584...........8974020..........272418756

...30.....1965......132369.........8974020.........611547441........41661463219

...82....11876.....1792237.......272418756.......41661463219......6369134821236

..224....71793....24269723......8270609664.....2838552905280....973866422990563

..612...434007...328645291....251096788713...193403197619803.148910067386335603

.1672..2623694..4450319537...7623351508315.13177423185201303

.4568.15861001.60263615333.231446775293031

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..97

Crossrefs

Column 1 is A021006(n-3)

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +2*a(n-2) for n>4

k=2: a(n) = 6*a(n-1) +2*a(n-2) -9*a(n-3) -10*a(n-4) +8*a(n-5) for n>6

k=3: [order 26]