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 A279580 T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 11
 0, 0, 0, 2, 4, 0, 4, 36, 40, 0, 14, 304, 944, 352, 0, 40, 2212, 20776, 23072, 3008, 0, 120, 15428, 406200, 1356120, 547168, 25280, 0, 352, 103648, 7630156, 72177144, 86246944, 12701248, 209792, 0, 1032, 680052, 138602548, 3684310576, 12490527012 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts .0.......0..........2..............4................14....................40 .0.......4.........36............304..............2212.................15428 .0......40........944..........20776............406200...............7630156 .0.....352......23072........1356120..........72177144............3684310576 .0....3008.....547168.......86246944.......12490527012.........1732429706176 .0...25280...12701248.....5385546376.....2121871518232.......800037452999320 .0..209792..290067328...331573929104...355347019237332....364333887872124232 .0.1723392.6540226304.20185283466808.58835479020749472.164074884296083732404 LINKS R. H. Hardin, Table of n, a(n) for n = 1..110 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 16*a(n-1) -72*a(n-2) +64*a(n-3) -16*a(n-4) k=3: [order 6] for n>7 k=4: [order 16] for n>17 k=5: [order 28] for n>29 Empirical for row n: n=1: a(n) = 4*a(n-1) -8*a(n-3) -4*a(n-4) for n>5 n=2: [order 8] n=3: [order 34] for n>35 EXAMPLE Some solutions for n=3 k=4 ..0..0..1..0. .0..1..1..1. .0..1..1..2. .0..1..2..1. .0..1..2..1 ..1..2..1..2. .2..0..0..0. .1..0..0..2. .0..2..2..2. .1..0..0..2 ..0..1..0..2. .0..2..2..0. .2..0..2..1. .1..2..1..0. .0..2..2..1 CROSSREFS Row 1 is A279322. Sequence in context: A059226 A221655 A221087 * A197513 A097666 A144810 Adjacent sequences: A279577 A279578 A279579 * A279581 A279582 A279583 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 15 2016 STATUS approved

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Last modified June 17 10:05 EDT 2024. Contains 373445 sequences. (Running on oeis4.)