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 A303102 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 12
 0, 1, 0, 1, 3, 0, 2, 15, 11, 0, 3, 46, 77, 34, 0, 5, 161, 431, 486, 111, 0, 8, 601, 2913, 4667, 2869, 361, 0, 13, 2208, 19393, 58160, 49534, 17229, 1172, 0, 21, 8053, 128921, 709333, 1138331, 523578, 102952, 3809, 0, 34, 29415, 857789, 8650205, 25372284, 22292709 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0.....1.......1.........2............3..............5.................8 .0.....3......15........46..........161............601..............2208 .0....11......77.......431.........2913..........19393............128921 .0....34.....486......4667........58160.........709333...........8650205 .0...111....2869.....49534......1138331.......25372284.........568099880 .0...361...17229....523578.....22292709......906385523.......37220475492 .0..1172..102952...5550469....436394066....32409609245.....2441756629583 .0..3809..616065..58797885...8545589681..1158734336743...160164698180399 .0.12377.3685099.622939052.167325743073.41428642572259.10505922762123798 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 3*a(n-1) +a(n-2) -2*a(n-4) k=3: [order 11] k=4: [order 26] k=5: [order 90] for n>91 Empirical for row n: n=1: a(n) = a(n-1) +a(n-2) n=2: a(n) = 3*a(n-1) +a(n-2) +4*a(n-3) +4*a(n-4) for n>5 n=3: [order 14] for n>15 n=4: [order 42] for n>43 EXAMPLE Some solutions for n=5 k=4 ..0..1..1..1. .0..0..1..1. .0..0..1..1. .0..0..0..0. .0..1..0..1 ..1..0..1..0. .1..1..1..1. .1..1..0..0. .0..1..1..1. .0..0..1..0 ..1..0..0..1. .0..0..0..1. .1..1..1..1. .0..0..1..0. .1..0..0..0 ..0..1..1..0. .0..1..1..0. .0..0..0..0. .0..1..0..1. .0..1..1..1 ..1..1..0..0. .1..1..0..0. .1..1..1..1. .1..0..1..0. .1..0..0..0 CROSSREFS Column 2 is A180762. Row 1 is A000045(n-1). Row 2 is A232077(n-1). Sequence in context: A303254 A256068 A302381 * A302953 A350464 A247706 Adjacent sequences: A303099 A303100 A303101 * A303103 A303104 A303105 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 18 2018 STATUS approved

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Last modified February 26 05:55 EST 2024. Contains 370335 sequences. (Running on oeis4.)