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

1,1

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

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)

Example

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

Crossrefs

Sequence in context: A294409 A239776 A071990 * A196483 A196716 A086948

Adjacent sequences: A230754 A230755 A230756 * A230758 A230759 A230760

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 29 2013

Status

approved