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 A297519 T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s. 13
 1, 2, 1, 3, 5, 1, 4, 17, 11, 1, 6, 33, 49, 24, 1, 9, 65, 128, 177, 55, 1, 13, 193, 363, 624, 727, 123, 1, 19, 529, 1408, 2610, 3383, 2445, 276, 1, 28, 1185, 5079, 15896, 19187, 16173, 8931, 621, 1, 41, 2737, 16104, 85843, 193087, 134123, 80436, 33841, 1395, 1, 60, 7169 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1....2......3.......4........6..........9...........13............19 .1....5.....17......33.......65........193..........529..........1185 .1...11.....49.....128......363.......1408.........5079.........16104 .1...24....177.....624.....2610......15896........85843........402072 .1...55....727....3383....19187.....193087......1671315......11283382 .1..123...2445...16173...134123....1995817.....25184119.....253060180 .1..276...8931...80436...956810...22251457....424461759....6257746155 .1..621..33841..406779..6834267..249462938...7287075949..156485261895 .1.1395.120079.2013490.48617437.2728125667.119542912709.3789277002360 LINKS R. H. Hardin, Table of n, a(n) for n = 1..241 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) -a(n-5) k=3: a(n) = a(n-1) +2*a(n-2) +30*a(n-3) +6*a(n-5) -124*a(n-6) -8*a(n-8) +64*a(n-9) k=4: [order 32] k=5: [order 54] Empirical for row n: n=1: a(n) = a(n-1) +a(n-3) n=2: a(n) = a(n-1) +4*a(n-3) +12*a(n-4) n=3: [order 12] n=4: [order 31] n=5: [order 87] EXAMPLE Some solutions for n=5 k=4 ..0..1..1..0. .0..1..1..0. .1..0..0..0. .1..1..1..0. .0..0..0..1 ..0..1..0..1. .0..0..0..0. .0..1..0..0. .0..0..1..0. .0..1..1..1 ..0..0..0..1. .0..0..0..0. .0..0..0..0. .1..1..0..1. .0..0..0..0 ..1..0..1..0. .0..1..1..1. .0..1..0..0. .1..0..0..0. .0..1..1..0 ..1..1..0..1. .0..0..0..1. .0..0..1..0. .0..0..1..1. .0..1..0..1 CROSSREFS Column 2 is A295091. Row 1 is A000930(n+1). Sequence in context: A337884 A337883 A202179 * A297749 A173588 A286942 Adjacent sequences: A297516 A297517 A297518 * A297520 A297521 A297522 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 31 2017 STATUS approved

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Last modified April 2 02:53 EDT 2023. Contains 361723 sequences. (Running on oeis4.)