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 A281563 T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 14
 0, 0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 18, 68, 6, 0, 0, 141, 621, 815, 57, 0, 0, 602, 2426, 3374, 4172, 310, 0, 0, 2180, 6955, 12133, 15508, 18020, 1508, 0, 0, 7006, 16656, 31300, 50510, 53568, 62882, 6854, 0, 0, 20979, 36578, 67834, 119319, 154722, 162919, 201551 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS Table starts .0......0.......0.......0.......0........0........0........0........0.........0 .0......0.......5......18.....141......602.....2180.....7006....20979.....59698 .0......1......68.....621....2426.....6955....16656....36578....76332....153813 .0......6.....815....3374...12133....31300....67834...136056...264286....498750 .0.....57....4172...15508...50510...119319...243040...458646...836348...1499031 .0....310...18020...53568..154722...347316...692421..1275888..2241388...3864672 .0...1508...62882..162919..430995...919632..1818257..3326246..5744641...9601436 .0...6854..201551..463916.1166392..2383814..4578736..8300608.14212419..23352928 .0..29487..605398.1262057.3018274..5976640.11105124.19678234.33449458..54649755 .0.122326.1743548.3344312.7606230.14598286.26461889.45643798.76274137.124061416 LINKS R. H. Hardin, Table of n, a(n) for n = 1..242 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: [order 12] k=3: [order 21] for n>29 k=4: [order 24] for n>34 k=5: [order 29] for n>46 k=6: [order 32] for n>52 k=7: [order 35] for n>58 Empirical for row n: n=1: a(n) = a(n-1) n=2: [order 14] for n>15 n=3: [order 12] for n>20 n=4: [order 15] for n>24 n=5: [order 18] for n>28 n=6: [order 21] for n>37 n=7: [order 24] for n>46 EXAMPLE Some solutions for n=4 k=4 ..0..1..0..0. .0..0..1..0. .0..1..0..1. .0..0..1..1. .0..1..1..0 ..0..1..0..1. .0..1..1..0. .1..0..1..0. .0..1..1..0. .1..0..1..0 ..1..0..1..1. .1..0..0..0. .1..0..1..1. .0..0..0..1. .1..1..1..0 ..1..0..0..1. .1..0..1..0. .1..0..0..0. .0..1..0..1. .1..0..1..0 CROSSREFS Sequence in context: A228077 A204170 A283784 * A293087 A209349 A242095 Adjacent sequences:  A281560 A281561 A281562 * A281564 A281565 A281566 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 24 2017 STATUS approved

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Last modified December 2 20:25 EST 2021. Contains 349445 sequences. (Running on oeis4.)