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 A297762 T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s. 13
 1, 1, 1, 1, 2, 1, 1, 12, 4, 1, 1, 31, 52, 7, 1, 1, 78, 206, 186, 14, 1, 1, 225, 734, 1181, 1045, 31, 1, 1, 733, 4088, 7081, 10639, 5685, 69, 1, 1, 2305, 24801, 73352, 109228, 90727, 28565, 155, 1, 1, 7156, 130159, 759243, 2263784, 1456855, 720785, 148681, 354, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .1...1......1........1..........1.............1...............1 .1...2.....12.......31.........78...........225.............733 .1...4.....52......206........734..........4088...........24801 .1...7....186.....1181.......7081.........73352..........759243 .1..14...1045....10639.....109228.......2263784........45618455 .1..31...5685....90727....1456855......59707529......2301783905 .1..69..28565...720785...18733087....1504842706....108229776807 .1.155.148681..5909241..251641086...39769163381...5394743533114 .1.354.783104.48847911.3354939709.1043883771677.267870723932943 LINKS R. H. Hardin, Table of n, a(n) for n = 1..199 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 3*a(n-1) -2*a(n-2) +2*a(n-3) -2*a(n-4) -a(n-5) k=3: [order 15] k=4: [order 33] k=5: [order 78] Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = 4*a(n-1) -3*a(n-2) +a(n-3) +6*a(n-4) -18*a(n-5) n=3: [order 20] n=4: [order 52] EXAMPLE Some solutions for n=5 k=4 ..1..1..1..1. .1..1..1..0. .0..1..1..1. .0..1..1..0. .1..1..1..1 ..1..1..1..1. .1..1..1..1. .0..0..1..0. .1..1..1..0. .1..1..1..0 ..0..0..0..0. .0..1..0..0. .0..0..1..1. .1..0..0..1. .0..0..0..1 ..1..1..1..0. .1..1..1..1. .0..1..1..0. .0..1..1..1. .0..1..1..0 ..0..1..1..0. .1..1..1..0. .0..0..0..0. .0..1..1..0. .0..1..1..0 CROSSREFS Column 2 is A202973. Sequence in context: A066094 A160625 A324188 * A010246 A186430 A173889 Adjacent sequences: A297759 A297760 A297761 * A297763 A297764 A297765 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 05 2018 STATUS approved

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Last modified February 21 01:11 EST 2024. Contains 370219 sequences. (Running on oeis4.)