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 A279856 T(n,k)=Number of nXk 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 6
 0, 0, 0, 2, 4, 2, 2, 10, 10, 2, 8, 24, 49, 24, 8, 14, 54, 168, 168, 54, 14, 36, 116, 557, 972, 557, 116, 36, 74, 250, 1758, 5200, 5200, 1758, 250, 74, 168, 528, 5441, 26632, 44893, 26632, 5441, 528, 168, 358, 1118, 16500, 134898, 373516, 373516, 134898, 16500 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ...0....0......2........2..........8..........14..........36..........74 ...0....4.....10.......24.........54.........116.........250.........528 ...2...10.....49......168........557........1758........5441.......16500 ...2...24....168......972.......5200.......26632......134898......668668 ...8...54....557.....5200......44893......373516.....3010179....23836450 ..14..116...1758....26632.....373516.....4989784....64921744...827573664 ..36..250...5441...134898....3010179....64921744..1356293555.27796618392 ..74..528..16500...668668...23836450...827573664.27796618392 .168.1118..49253..3278294..185854745.10392951988 .358.2348.145290.15902088.1432781380 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +3*a(n-2) -4*a(n-3) -4*a(n-4) for n>5 k=2: a(n) = 3*a(n-1) +a(n-2) -7*a(n-3) +4*a(n-5) k=3: a(n) = 4*a(n-1) -2*a(n-2) -9*a(n-4) -4*a(n-5) -4*a(n-6) for n>9 k=4: [order 38] for n>41 EXAMPLE Some solutions for n=4 k=4 ..0..1..1..1. .0..0..0..0. .0..0..0..1. .0..0..0..0. .0..0..0..1 ..0..1..1..1. .0..0..1..1. .0..0..0..1. .1..1..0..1. .0..0..0..1 ..2..2..1..1. .0..2..2..1. .2..0..0..1. .1..1..0..0. .0..0..0..1 ..2..2..2..2. .0..2..2..1. .0..0..0..1. .0..0..0..0. .0..0..1..1 CROSSREFS Column 1 is A219754(n+1)*2. Sequence in context: A280161 A280124 A279268 * A054507 A182742 A320156 Adjacent sequences:  A279853 A279854 A279855 * A279857 A279858 A279859 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 20 2016 STATUS approved

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Last modified December 7 05:14 EST 2019. Contains 329839 sequences. (Running on oeis4.)