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 A303242 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 12
 1, 1, 2, 1, 2, 4, 1, 11, 2, 8, 1, 13, 18, 3, 16, 1, 34, 8, 55, 6, 32, 1, 65, 60, 10, 181, 10, 64, 1, 123, 56, 255, 61, 494, 21, 128, 1, 266, 236, 149, 1106, 160, 1465, 42, 256, 1, 499, 428, 1676, 1373, 5158, 458, 4415, 86, 512, 1, 1037, 1248, 3307, 11111, 7823, 23995, 1748 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ...1..1.....1....1......1.......1........1.........1..........1............1 ...2..2....11...13.....34......65......123.......266........499.........1037 ...4..2....18....8.....60......56......236.......428.......1248.........3264 ...8..3....55...10....255.....149.....1676......3307......18505........65498 ..16..6...181...61...1106....1373....11111.....38480.....221943......1162591 ..32.10...494..160...5158....7823....90728....421983....3251872.....23282610 ..64.21..1465..458..23995...41878...686376...4288552...44547581....435326091 .128.42..4415.1748.108726..277018..5320294..48315454..648070597...8762716079 .256.86.12934.6056.506416.1721671.42575026.536745912.9508520220.176408218876 LINKS R. H. Hardin, Table of n, a(n) for n = 1..199 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 13] k=4: [order 71] for n>72 Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = a(n-1) +3*a(n-2) -4*a(n-4) for n>5 n=3: [order 20] n=4: [order 67] for n>68 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..1. .0..0..0..1. .0..1..1..1. .0..1..1..1. .0..0..1..1 ..0..0..1..1. .1..0..0..0. .1..1..1..0. .0..1..1..0. .0..0..1..1 ..0..0..1..0. .1..0..1..0. .1..1..1..1. .0..1..1..1. .0..1..1..0 ..0..0..1..1. .1..0..0..0. .1..1..1..1. .0..1..1..1. .0..0..1..1 ..0..0..1..1. .0..0..0..1. .0..1..1..0. .0..1..1..0. .0..0..1..1 CROSSREFS Column 1 is A000079(n-1). Column 2 is A240513(n-2). Row 2 is A297870(n+2). Sequence in context: A105619 A302212 A302460 * A302367 A303084 A302889 Adjacent sequences: A303239 A303240 A303241 * A303243 A303244 A303245 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 20 2018 STATUS approved

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Last modified August 5 23:35 EDT 2024. Contains 374957 sequences. (Running on oeis4.)