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 A279977 T(n,k)=Number of nXk 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 COMMENTS 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 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 Some solutions for n=4 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: A117078 A021333 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 August 9 13:50 EDT 2020. Contains 336323 sequences. (Running on oeis4.)