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 A267667 T(n,k)=Number of nXk 0..1 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, 3, 8, 4, 5, 18, 32, 7, 7, 50, 108, 98, 12, 11, 98, 500, 453, 288, 20, 15, 242, 1372, 3143, 1800, 800, 33, 23, 450, 5324, 10933, 18432, 6654, 2178, 54, 31, 1058, 13500, 60401, 80404, 98438, 23967, 5832, 88, 47, 1922, 48668, 188301, 624476, 528980 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1.....2.......3........5.........7..........11...........15............23 ...2.....8......18.......50........98.........242..........450..........1058 ...4....32.....108......500......1372........5324........13500.........48668 ...7....98.....453.....3143.....10933.......60401.......188301........951113 ..12...288....1800....18432.....80404......624476......2369260......16599404 ..20...800....6654....98438....528980.....5663798.....25652956.....245171384 ..33..2178...23967...508681...3351233....49212395....264709135....3440837625 ..54..5832...84552..2560344..20607770...413258400...2629810220...46354321490 ..88.15488..295176.12721832.124968034..3417993766..25695609592..614111962042 .143.40898.1023321.62688891.751679881.28026084373.248940754959.8066250323665 LINKS R. H. Hardin, Table of n, a(n) for n = 1..179 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) -a(n-3) k=2: a(n) = 4*a(n-1) -2*a(n-2) -6*a(n-3) +4*a(n-4) +2*a(n-5) -a(n-6) k=3: [order 16] k=4: [order 80] Empirical for row n: n=1: a(n) = a(n-1) +2*a(n-2) -2*a(n-3) n=2: a(n) = a(n-1) +6*a(n-2) -6*a(n-3) -8*a(n-4) +8*a(n-5) n=3: a(n) = a(n-1) +14*a(n-2) -14*a(n-3) -56*a(n-4) +56*a(n-5) +64*a(n-6) -64*a(n-7) n=4: [order 21] n=5: [order 96] EXAMPLE Some solutions for n=5 k=4 ..0..1..0..1....0..1..1..0....0..0..1..0....0..1..0..1....0..1..1..0 ..0..0..1..1....0..0..1..1....1..0..1..1....1..1..0..0....0..0..1..1 ..1..1..0..0....0..0..1..1....0..1..1..0....0..0..1..1....1..0..1..0 ..0..1..0..1....1..0..0..1....1..0..0..1....0..1..0..0....0..0..1..0 ..0..1..0..1....0..0..1..1....1..0..1..0....0..0..1..1....0..1..0..1 CROSSREFS Column 1 is A000071(n+2). Row 1 is A052955(n-1). Row 2 is A267638. Sequence in context: A220553 A176383 A100551 * A210190 A070267 A205374 Adjacent sequences: A267664 A267665 A267666 * A267668 A267669 A267670 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 19 2016 STATUS approved

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Last modified June 20 03:21 EDT 2024. Contains 373512 sequences. (Running on oeis4.)