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 A302889 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 12
 1, 1, 2, 1, 2, 4, 1, 12, 2, 8, 1, 20, 37, 3, 16, 1, 72, 53, 141, 6, 32, 1, 168, 197, 238, 569, 10, 64, 1, 496, 818, 2278, 1102, 2262, 21, 128, 1, 1296, 2548, 12782, 20937, 5570, 8968, 42, 256, 1, 3616, 10926, 98458, 200186, 206332, 28594, 35667, 86, 512, 1, 9760, 42671 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ...1..1......1......1.........1...........1.............1...............1 ...2..2.....12.....20........72.........168...........496............1296 ...4..2.....37.....53.......197.........818..........2548...........10926 ...8..3....141....238......2278.......12782.........98458..........714934 ..16..6....569...1102.....20937......200186.......2727690........37626360 ..32.10...2262...5570....206332.....3452246......89290791......2247650354 ..64.21...8968..28594...2059835....60501563....2899297652....133518102376 .128.42..35667.149206..20622709..1073161270...94799190457...7977498513759 .256.86.141839.788373.206851726.19073141368.3098646840396.476377988322833 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 2*a(n-1) +a(n-2) -a(n-3) -2*a(n-4) +a(n-5) k=3: [order 10] k=4: [order 35] for n>37 Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = 2*a(n-1) +4*a(n-2) -4*a(n-3) -4*a(n-4) n=3: [order 16] for n>17 n=4: [order 51] for n>54 EXAMPLE Some solutions for n=5 k=4 ..0..1..1..0. .0..1..1..1. .0..1..1..0. .0..0..0..0. .0..1..1..0 ..1..1..1..0. .1..1..1..0. .0..1..1..0. .1..0..0..1. .0..1..1..1 ..0..1..1..0. .0..1..1..0. .0..1..1..1. .1..0..0..1. .0..1..1..1 ..0..1..1..0. .0..1..1..1. .1..1..1..0. .0..0..0..0. .1..1..1..0 ..0..1..1..1. .0..1..1..0. .0..1..1..1. .0..0..0..1. .1..1..1..0 CROSSREFS Column 1 is A000079(n-1). Column 2 is A240513(n-2). Row 2 is A302368. Sequence in context: A303242 A302367 A303084 * A303624 A121439 A307448 Adjacent sequences: A302886 A302887 A302888 * A302890 A302891 A302892 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 15 2018 STATUS approved

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Last modified February 4 02:26 EST 2023. Contains 360045 sequences. (Running on oeis4.)