A230757 T(n,k)=Number of (n+3)X(k+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

12, 192, 192, 2700, 5544, 2700, 31212, 178608, 178608, 31212, 363312, 4838400, 13305708, 4838400, 363312, 4120752, 129731328, 820317888, 820317888, 129731328, 4120752, 46949808, 3423037464, 51048476748, 116879941620, 51048476748

Offset: 1

Author

R. H. Hardin, Oct 29 2013

Keywords

• nonn
• tabl

Comments

Table starts

.......12.........192............2700..............31212................363312

......192........5544..........178608............4838400.............129731328

.....2700......178608........13305708..........820317888...........51048476748

....31212.....4838400.......820317888.......116879941620........17027460691212

...363312...129731328.....51048476748.....17027460691212......5769362600920812

..4120752..3423037464...3154520054700...2446111719135732...1928867953682733132

.46949808.90231813552.194576103540300.350956390609736652.645610139671314494208

Examples

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

Links

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

Formula

Empirical for column k:

k=1: [order 15]

k=2: [order 36]

T(n,k)=3*A230708(n,k)*A230739(n,k)