A278006 T(n,k)=Number of nXk 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.

0, 0, 0, 0, 9, 0, 0, 52, 52, 0, 0, 364, 866, 364, 0, 0, 2523, 16583, 16583, 2523, 0, 0, 17424, 316432, 912870, 316432, 17424, 0, 0, 120462, 6031565, 49996267, 49996267, 6031565, 120462, 0, 0, 832701, 114975158, 2732579072, 7830217270, 2732579072, 114975158

Offset

1,5

Comments

Table starts

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

.0......9.........52...........364..............2523.................17424

.0.....52........866.........16583............316432...............6031565

.0....364......16583........912870..........49996267............2732579072

.0...2523.....316432......49996267........7830217270.........1224179323009

.0..17424....6031565....2732579072.....1224179323009.......547419319384315

.0.120462..114975158..149393609720...191436065235070....244860735613038021

.0.832701.2191741025.8167589147618.29936909309888730.109526799967682916321

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=2: a(n) = 6*a(n-1) +6*a(n-2) +3*a(n-3) -6*a(n-4)

k=3: [order 16]

k=4: [order 38]

Example

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

Crossrefs

Sequence in context: A340946 A255292 A103636 * A221804 A275107 A274186

Adjacent sequences: A278003 A278004 A278005 * A278007 A278008 A278009

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 08 2016

Status

approved