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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 22 19:36 EDT 2021. Contains 347608 sequences. (Running on oeis4.)