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A230275 T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero 8
0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 8, 28, 8, 0, 0, 30, 258, 258, 30, 0, 0, 108, 2318, 5734, 2318, 108, 0, 0, 386, 19996, 115630, 115630, 19996, 386, 0, 0, 1376, 173042, 2348840, 5524854, 2348840, 173042, 1376, 0, 0, 4902, 1495602, 47524048, 261026756 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

.0....0.......0.........0............0...............0..................0

.0....0.......2.........8...........30.............108................386

.0....2......28.......258.........2318...........19996.............173042

.0....8.....258......5734.......115630.........2348840...........47524048

.0...30....2318....115630......5524854.......261026756........12303458948

.0..108...19996...2348840....261026756.....28716109350......3159756711522

.0..386..173042..47524048..12303458948...3159756711522....810027275568580

.0.1376.1495602.960953664.580318201510.347321368287746.207640367754692812

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = 4*a(n-1) -a(n-2) -2*a(n-3)

k=3: [order 10]

k=4: [order 34]

EXAMPLE

Some solutions for n=3 k=4

..0..1..0..1....0..1..2..1....0..1..2..0....0..1..2..0....0..1..2..0

..1..2..0..2....2..1..0..2....2..2..0..1....2..0..1..1....2..0..2..1

..0..2..1..0....2..0..0..1....1..1..0..2....1..2..0..2....2..0..1..0

CROSSREFS

Sequence in context: A069971 A167291 A063865 * A230592 A282699 A182107

Adjacent sequences:  A230272 A230273 A230274 * A230276 A230277 A230278

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 14 2013

STATUS

approved

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Last modified August 3 03:52 EDT 2021. Contains 346435 sequences. (Running on oeis4.)