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 A281765 T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 12
 0, 0, 0, 2, 4, 0, 2, 14, 10, 0, 5, 40, 47, 20, 0, 8, 110, 152, 90, 38, 0, 15, 280, 609, 560, 201, 68, 0, 26, 698, 2138, 2808, 1872, 374, 120, 0, 46, 1696, 7466, 13968, 12191, 5948, 672, 208, 0, 80, 4052, 25798, 68362, 85844, 49986, 18358, 1172, 358, 0, 139, 9564, 87397 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts .0...0....2......2........5.........8..........15...........26.............46 .0...4...14.....40......110.......280.........698.........1696...........4052 .0..10...47....152......609......2138........7466........25798..........87397 .0..20...90....560.....2808.....13968.......68362.......323280........1529974 .0..38..201...1872....12191.....85844......589990......3845590.......25703392 .0..68..374...5948....49986....502276.....4845178.....43943360......414035752 .0.120..672..18358...201450...2848436....38998648....491290688.....6531040026 .0.208.1172..55048...795220..15817652...306847534...5380228500...100838834642 .0.358.2015.162120..3098932..86332266..2376142873..58064622712..1533079336619 .0.612.3442.471340.11944444.465260812.18172170592.619082149716.23019093115418 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 3*a(n-1) -a(n-2) -3*a(n-3) +a(n-4) +a(n-5) k=3: a(n) = 4*a(n-1) -4*a(n-2) -2*a(n-3) +4*a(n-4) -a(n-6) for n>11 k=4: [order 29] for n>32 k=5: [order 48] for n>57 Empirical for row n: n=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4) for n>5 n=2: [order 9] n=3: [order 40] for n>41 EXAMPLE Some solutions for n=4 k=4 ..0..0..0..0. .0..0..1..1. .0..0..1..0. .0..1..0..0. .0..1..1..0 ..0..0..1..1. .0..1..1..1. .0..1..0..1. .1..0..1..1. .0..0..1..1 ..1..1..1..1. .0..0..1..1. .1..1..1..0. .0..1..1..1. .0..0..1..1 ..1..1..0..1. .0..1..1..1. .1..1..0..0. .1..0..1..1. .0..1..1..1 CROSSREFS Column 2 is A279262. Row 1 is A006367(n-1). Sequence in context: A153182 A111818 A007631 * A155517 A325490 A123514 Adjacent sequences: A281762 A281763 A281764 * A281766 A281767 A281768 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 29 2017 STATUS approved

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Last modified June 20 14:54 EDT 2024. Contains 373526 sequences. (Running on oeis4.)