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A267952 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column one larger mod 3 than the previous repeated value, and upper left element zero. 7
1, 3, 3, 8, 27, 8, 21, 192, 192, 21, 53, 1323, 3250, 1323, 53, 132, 8427, 52542, 52542, 8427, 132, 323, 52272, 755896, 1965330, 755896, 52272, 323, 783, 312987, 10458126, 63015581, 63015581, 10458126, 312987, 783, 1880, 1839267, 137349742, 1919539785 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1........3............8.............21..............53..............132

....3.......27..........192...........1323............8427............52272

....8......192.........3250..........52542..........755896.........10458126

...21.....1323........52542........1965330........63015581.......1919539785

...53.....8427.......755896.......63015581......4342251846.....280943128130

..132....52272.....10458126.....1919539785....280943128130...38163253126664

..323...312987....137349742....54600088140..16705109186509.4689944257913744

..783..1839267...1754573922..1497422284157.949536358874750

.1880.10603200..21788175316.39564274878078

.4485.60345675.265455230994

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

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

k=2: a(n) = 10*a(n-1) -8*a(n-2) -163*a(n-3) +306*a(n-4) +684*a(n-5) -1296*a(n-6)

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Sequence in context: A190659 A202536 A038068 * A221773 A101126 A221001

Adjacent sequences:  A267949 A267950 A267951 * A267953 A267954 A267955

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 22 2016

STATUS

approved

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Last modified July 24 20:26 EDT 2021. Contains 346273 sequences. (Running on oeis4.)