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 A267911 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order. 13
 1, 2, 2, 4, 14, 5, 11, 96, 122, 13, 29, 726, 2304, 938, 34, 77, 5046, 47916, 43972, 6734, 88, 201, 35574, 878004, 2331981, 754852, 45938, 225, 525, 242406, 16435188, 104491831, 98614986, 12017350, 302402, 569, 1361, 1653750, 292341636 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1........2............4..............11...............29................77 ....2.......14...........96.............726.............5046.............35574 ....5......122.........2304...........47916...........878004..........16435188 ...13......938........43972.........2331981........104491831........4817531571 ...34.....6734.......754852........98614986......10441322974.....1145682971200 ...88....45938.....12017350......3774659262.....922017784240...235078226435316 ..225...302402....181535822....134786758099...74691010105571.43513012231778789 ..569..1939154...2638824216...4574297266940.5680483902454184 .1426.12192302..37263580006.149403639631334 .3548.75508538.514648921140 LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 FORMULA Empirical for column k: k=1: a(n) = 5*a(n-1) -7*a(n-2) +a(n-3) +2*a(n-4) k=2: a(n) = 14*a(n-1) -60*a(n-2) +50*a(n-3) +145*a(n-4) -80*a(n-5) -84*a(n-6) +16*a(n-7) k=3: [order 54] Empirical for row n: n=1: a(n) = 3*a(n-1) +2*a(n-2) -8*a(n-3) for n>5 n=2: [order 6] for n>8 n=3: [order 10] for n>12 EXAMPLE Some solutions for n=3 k=4 ..0..1..2..2....0..1..1..0....0..1..1..0....0..1..1..0....0..1..2..1 ..1..2..0..0....1..2..2..1....0..2..1..2....2..2..1..1....2..0..2..0 ..1..1..2..1....2..2..1..1....2..0..1..0....2..1..1..0....2..1..0..0 CROSSREFS Sequence in context: A204705 A206650 A268049 * A120654 A121514 A121526 Adjacent sequences: A267908 A267909 A267910 * A267912 A267913 A267914 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 22 2016 STATUS approved

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Last modified February 5 22:19 EST 2023. Contains 360087 sequences. (Running on oeis4.)