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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 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) 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 Adjacent sequences: A268089 A268090 A268091 * A268093 A268094 A268095 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.)