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 A279134 T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 7
 0, 1, 1, 0, 0, 0, 3, 9, 9, 3, 3, 34, 66, 34, 3, 9, 87, 256, 256, 87, 9, 15, 194, 820, 1324, 820, 194, 15, 31, 400, 2551, 6396, 6396, 2551, 400, 31, 57, 790, 7491, 30074, 47452, 30074, 7491, 790, 57, 108, 1511, 21131, 129264, 316516, 316516, 129264, 21131, 1511, 108 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 COMMENTS Table starts ...0....1......0.......3.........3...........9...........15.............31 ...1....0......9......34........87.........194..........400............790 ...0....9.....66.....256.......820........2551.........7491..........21131 ...3...34....256....1324......6396.......30074.......129264.........535814 ...3...87....820....6396.....47452......316516......2017028.......12376570 ...9..194...2551...30074....316516.....3125600.....29410145......266502710 ..15..400...7491..129264...2017028....29410145....409061044.....5488392521 ..31..790..21131..535814..12376570...266502710...5488392521...109117856920 ..57.1511..57971.2150797..73672888..2346800921..71618045798..2111166039927 .108.2830.155551.8418336.428568648.20197483932.913912909445.39962431131266 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) -5*a(n-3) +3*a(n-5) +a(n-6) k=2: [order 8] for n>9 k=3: [order 11] for n>17 k=4: [order 43] for n>50 k=5: [order 88] for n>108 EXAMPLE Some solutions for n=4 k=4 ..0..0..1..0. .0..0..0..1. .0..1..0..1. .0..1..0..1. .0..0..1..0 ..1..0..1..1. .1..1..1..0. .0..0..1..0. .1..0..1..0. .1..1..0..1 ..1..1..0..0. .0..0..0..1. .0..1..0..0. .0..1..1..0. .1..0..1..0 ..1..0..1..1. .1..0..1..0. .1..0..1..0. .0..1..0..0. .0..0..0..1 CROSSREFS Column 1 is A105423(n-2). Sequence in context: A103555 A157349 A159811 * A083352 A243350 A091559 Adjacent sequences:  A279131 A279132 A279133 * A279135 A279136 A279137 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 06 2016 STATUS approved

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Last modified November 27 03:16 EST 2021. Contains 349345 sequences. (Running on oeis4.)