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 A283130 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors. 7
 2, 4, 4, 8, 16, 8, 16, 57, 57, 16, 32, 209, 378, 209, 32, 64, 768, 2521, 2521, 768, 64, 128, 2816, 16818, 30824, 16818, 2816, 128, 256, 10329, 112276, 376359, 376359, 112276, 10329, 256, 512, 37889, 749447, 4598361, 8402216, 4598361, 749447, 37889, 512 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2......4.........8...........16.............32................64 ....4.....16........57..........209............768..............2816 ....8.....57.......378.........2521..........16818............112276 ...16....209......2521........30824.........376359...........4598361 ...32....768.....16818.......376359........8402216.........187671790 ...64...2816....112276......4598361......187671790........7664347268 ..128..10329....749447.....56176300.....4191671248......312996735204 ..256..37889...5002276....686250407....93617080958....12781345612180 ..512.138980..33388996...8383419717..2090880805128...521941108563948 .1024.509792.222863968.102414019954.46698565884588.21314084605931116 LINKS R. H. Hardin, Table of n, a(n) for n = 1..264 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 3*a(n-1) +2*a(n-2) +2*a(n-3) -a(n-4) -a(n-5) k=3: [order 9] k=4: [order 17] k=5: [order 48] EXAMPLE Some solutions for n=4 k=4 ..0..0..0..1. .0..0..1..0. .1..1..0..1. .0..0..0..1. .1..1..1..0 ..1..0..1..1. .1..1..0..0. .1..0..0..1. .1..0..0..0. .1..0..0..1 ..0..1..1..0. .0..1..0..0. .1..1..1..0. .0..0..0..1. .0..1..0..0 ..0..0..0..0. .1..0..1..0. .0..0..0..0. .1..0..1..0. .0..0..0..1 CROSSREFS Diagonal is A068471. Column 1 is A000079. Sequence in context: A189779 A262338 A283691 * A295716 A282399 A297374 Adjacent sequences:  A283127 A283128 A283129 * A283131 A283132 A283133 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 01 2017 STATUS approved

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Last modified February 22 08:23 EST 2020. Contains 332118 sequences. (Running on oeis4.)