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 A302808 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 12
 1, 2, 2, 4, 8, 4, 8, 29, 32, 8, 16, 105, 169, 128, 16, 32, 384, 934, 1010, 512, 32, 64, 1405, 5117, 8718, 6084, 2048, 64, 128, 5135, 28128, 74072, 82367, 36456, 8192, 128, 256, 18766, 154494, 632004, 1089773, 773520, 218640, 32768, 256, 512, 68589, 848519 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1......2.......4.........8..........16............32..............64 ...2......8......29.......105.........384..........1405............5135 ...4.....32.....169.......934........5117.........28128..........154494 ...8....128....1010......8718.......74072........632004.........5396562 ..16....512....6084.....82367.....1089773......14458177.......192211013 ..32...2048...36456....773520....15904814.....327603711......6769884156 ..64...8192..218640...7267160...232260380....7428713676....238687785290 .128..32768.1312416..68346451..3396923500..168777255305...8434497360938 .256.131072.7873344.642498696.49653502029.3832039683236.297820640670676 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) = 4*a(n-1) k=3: a(n) = 6*a(n-1) +24*a(n-3) -144*a(n-4) for n>6 k=4: [order 18] for n>20 k=5: [order 90] for n>92 Empirical for row n: n=1: a(n) = 2*a(n-1) n=2: a(n) = 3*a(n-1) +a(n-2) +4*a(n-3) +4*a(n-4) n=3: [order 13] for n>15 n=4: [order 48] for n>50 EXAMPLE Some solutions for n=5 k=4 ..0..1..0..0. .0..0..0..0. .0..0..1..0. .0..0..1..0. .0..1..1..0 ..1..0..1..1. .0..1..1..0. .1..0..1..0. .0..0..1..1. .1..1..1..1 ..1..0..1..0. .0..1..0..1. .1..0..1..1. .0..0..1..1. .0..0..0..0 ..0..1..0..1. .0..0..0..0. .1..0..0..0. .1..0..1..1. .0..1..1..0 ..1..1..0..0. .0..0..1..1. .1..0..1..0. .1..0..1..0. .1..1..1..1 CROSSREFS Column 1 is A000079(n-1). Column 2 is A004171(n-1). Row 1 is A000079(n-1). Row 2 is A302266. Sequence in context: A301450 A302265 A302965 * A303469 A281955 A316183 Adjacent sequences: A302805 A302806 A302807 * A302809 A302810 A302811 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 13 2018 STATUS approved

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Last modified June 16 22:16 EDT 2024. Contains 373432 sequences. (Running on oeis4.)