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 A279977 T(n,k) is the number of n X k 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 14
 0, 1, 0, 0, 3, 0, 3, 9, 9, 0, 3, 24, 50, 31, 0, 9, 62, 221, 296, 108, 0, 15, 134, 822, 1922, 1650, 366, 0, 31, 277, 2669, 10491, 15511, 8666, 1205, 0, 57, 542, 8068, 50690, 124030, 118857, 43543, 3873, 0, 108, 1035, 23169, 226771, 887491, 1393359, 876704, 211650 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS R. H. Hardin, Table of n, a(n) for n = 1..198 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 9*a(n-1) -30*a(n-2) +45*a(n-3) -30*a(n-4) +9*a(n-5) -a(n-6) k=3: [order 9] for n>10 k=4: [order 24] k=5: [order 38] for n>39 k=6: [order 96] for n>97 Empirical for row n: n=1: a(n) = 3*a(n-1) -5*a(n-3) +3*a(n-5) +a(n-6) n=2: [order 8] for n>10 n=3: [order 24] for n>30 n=4: [order 68] for n>78 EXAMPLE Table starts: .0.....1.......0.........3...........3............9.............15 .0.....3.......9........24..........62..........134............277 .0.....9......50.......221.........822.........2669...........8068 .0....31.....296......1922.......10491........50690.........226771 .0...108....1650.....15511......124030.......887491........5870751 .0...366....8666....118857.....1393359.....14787217......144819856 .0..1205...43543....876704....15071233....237386464.....3444870482 .0..3873..211650...6281773...158391708...3703836674....79672440007 .0.12207.1002602..43997218..1627160233..56499013470..1801951754910 .0.37859.4652327.302544617.16409869901.846166990079.40020022178950 ... Some solutions for n=4 and k=4: ..0..1..0..0. .0..1..0..0. .0..1..0..1. .0..0..1..0. .0..1..0..1 ..0..0..1..0. .0..1..1..0. .0..1..0..0. .1..0..1..0. .1..0..1..1 ..1..1..1..1. .0..0..1..1. .1..0..1..1. .0..1..0..1. .1..0..1..1 ..1..0..0..1. .0..0..1..0. .0..0..0..1. .1..0..0..1. .0..1..0..1 CROSSREFS Row 1 is A105423(n-2). Sequence in context: A021333 A348670 A104141 * A060533 A177785 A212036 Adjacent sequences: A279974 A279975 A279976 * A279978 A279979 A279980 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 24 2016 STATUS approved

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Last modified September 8 05:26 EDT 2024. Contains 375751 sequences. (Running on oeis4.)