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A268092 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row not one larger and in every column one larger mod 3 than the previous repeated value, and upper left element zero. 11
1, 3, 3, 9, 27, 8, 26, 243, 192, 21, 74, 2028, 4608, 1323, 53, 208, 16428, 98830, 83349, 8427, 132, 580, 129792, 2028304, 4523326, 1339893, 52272, 323, 1608, 1009200, 40109966, 231625525, 176935858, 20699712, 312987, 783, 4440, 7756992, 774613334 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
....1........3............9..............26................74...............208
....3.......27..........243............2028.............16428............129792
....8......192.........4608...........98830...........2028304..........40109966
...21.....1323........83349.........4523326.........231625525.......11291781118
...53.....8427......1339893.......176935858.......21743763815.....2513690254246
..132....52272.....20699712......6564461764.....1911026997488...517166705601727
..323...312987....303284403....226972598646...153835391484442.95786441193596382
..783..1839267...4320438183...7559736791208.11819612140199748
.1880.10603200..59802048000.242339515066412
.4485.60345675.811951057125
LINKS
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)
k=3: [order 10]
Empirical for row n:
n=1: a(n) = 4*a(n-1) -2*a(n-2) -4*a(n-3)
n=2: a(n) = 14*a(n-1) -44*a(n-2) -88*a(n-3) +352*a(n-4) +320*a(n-5) -256*a(n-6)
EXAMPLE
Some solutions for n=3 k=4
..0..1..2..1....0..1..1..2....0..1..1..0....0..0..2..2....0..0..0..1
..1..1..0..1....0..2..0..2....1..2..0..2....2..0..0..1....0..1..0..1
..2..0..0..0....2..2..1..0....1..1..0..2....2..1..2..2....2..0..2..0
CROSSREFS
Column 1 is A267946.
Column 2 is A267947.
Sequence in context: A215885 A176158 A083008 * A229024 A117976 A010098
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 26 2016
STATUS
approved

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Last modified June 18 14:18 EDT 2024. Contains 373481 sequences. (Running on oeis4.)