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 A232515 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal 16
 4, 16, 4, 16, 52, 8, 54, 32, 200, 16, 74, 326, 128, 784, 28, 218, 250, 2516, 400, 3052, 52, 340, 2138, 1730, 19138, 1344, 11900, 96, 868, 1956, 32084, 10118, 145682, 4416, 46432, 176, 1494, 13976, 24388, 475086, 64290, 1110752, 14608, 181184, 324, 3528 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...4......16.....16.........54........74...........218..........340 ...4......52.....32........326.......250..........2138.........1956 ...8.....200....128.......2516......1730.........32084........24388 ..16.....784....400......19138.....10118........475086.......270400 ..28....3052...1344.....145682.....64290.......7059918......3267824 ..52...11900...4416....1110752....399122.....105188684.....38988416 ..96...46432..14608....8470018...2523098....1567758430....476578496 .176..181184..48224...64594290..15907690...23370338858...5831607392 .324..707044.159296..492627324.100603770..348398002228..71731172848 .596.2759212.526096.3757052022.636270550.5193906376594.883465590796 LINKS R. H. Hardin, Table of n, a(n) for n = 1..337 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) +a(n-3) k=2: a(n) = 4*a(n-1) +a(n-2) -4*a(n-3) -5*a(n-4) -2*a(n-5) +a(n-6) +2*a(n-7) k=3: a(n) = 2*a(n-1) +4*a(n-2) +a(n-3) k=4: [order 14] k=5: [order 18] for n>19 k=6: [order 49] k=7: [order 78] Empirical for row n: n=1: a(n) = 3*a(n-2) +a(n-3) +2*a(n-4) +2*a(n-5) n=2: a(n) = 6*a(n-2) +a(n-3) +3*a(n-4) +a(n-5) -2*a(n-6) -2*a(n-7) n=3: [order 9] n=4: [order 23] n=5: [order 42] n=6: [order 90] EXAMPLE Some solutions for n=5 k=4 ..0..1..2..1..0....0..1..2..1..2....0..1..0..1..0....2..1..0..1..0 ..0..1..2..1..0....0..1..2..1..0....2..1..2..1..0....2..1..2..1..2 ..2..1..2..1..0....0..1..0..1..2....2..1..0..1..0....2..1..2..1..2 ..2..1..0..1..2....0..1..0..1..0....2..1..2..1..2....2..1..0..1..0 ..2..1..2..1..2....0..1..2..1..0....2..1..2..1..0....2..1..0..1..2 ..0..1..0..1..0....2..1..0..1..0....0..1..2..1..2....0..1..0..1..2 CROSSREFS Sequence in context: A305833 A110650 A334840 * A010295 A059152 A059156 Adjacent sequences: A232512 A232513 A232514 * A232516 A232517 A232518 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 25 2013 STATUS approved

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Last modified July 21 09:38 EDT 2024. Contains 374472 sequences. (Running on oeis4.)