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 A275266 T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-1) and new values introduced in order 0..2. 13
 1, 2, 2, 5, 9, 5, 14, 54, 24, 14, 41, 324, 128, 64, 41, 122, 1944, 688, 396, 172, 122, 365, 11664, 3728, 2564, 1440, 476, 365, 1094, 69984, 20224, 17036, 13156, 5676, 1320, 1094, 3281, 419904, 109760, 114184, 126420, 73012, 22844, 3672, 3281, 9842 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1.....2.......5.......14.........41..........122............365 ....2.....9......54......324.......1944........11664..........69984 ....5....24.....128......688.......3728........20224.........109760 ...14....64.....396.....2564......17036.......114184.........767400 ...41...172....1440....13156.....126420......1224088.......11894712 ..122...476....5676....73012....1020324.....14005180......194398028 ..365..1320...22844...409728....8391716....161725644.....3224773976 .1094..3672...93968..2315520...70863268...1922952988....56045462432 .3281.10220..389820.13124196..603245904..22903224024...981633748272 .9842.28472.1626348.74374784.5149743348.271600215464.17187870741644 LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) -3*a(n-2) k=2: [order 9] for n>10 k=3: [order 14] for n>17 k=4: [order 43] for n>47 Empirical for row n: n=1: a(n) = 4*a(n-1) -3*a(n-2) n=2: a(n) = 6*a(n-1) for n>2 n=3: a(n) = 6*a(n-1) -2*a(n-2) -6*a(n-3) for n>4 n=4: a(n) = 8*a(n-1) -7*a(n-2) -9*a(n-3) -8*a(n-4) -12*a(n-5) +16*a(n-6) for n>7 n=5: [order 18] for n>19 n=6: [order 24] for n>26 n=7: [order 43] for n>45 EXAMPLE Some solutions for n=4 k=4 ..0..1..2..1. .0..1..0..2. .0..1..2..2. .0..1..2..1. .0..1..0..1 ..2..1..2..0. .0..2..0..1. .0..1..0..0. .2..1..2..1. .0..1..0..1 ..2..1..0..1. .0..1..0..2. .2..1..0..1. .2..1..0..0. .0..2..0..1 ..2..0..2..1. .1..2..0..1. .0..1..2..1. .2..0..0..1. .2..2..0..2 CROSSREFS Column 1 is A007051(n-1). Row 1 is A007051(n-1). Sequence in context: A274068 A274065 A233073 * A223387 A278386 A262614 Adjacent sequences: A275263 A275264 A275265 * A275267 A275268 A275269 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jul 21 2016 STATUS approved

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Last modified July 23 04:10 EDT 2024. Contains 374544 sequences. (Running on oeis4.)