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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. 7
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 08 2016
STATUS
approved

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Last modified December 2 23:17 EST 2023. Contains 367526 sequences. (Running on oeis4.)