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 A275352 T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2. 11
 1, 2, 2, 5, 14, 5, 14, 81, 54, 14, 41, 486, 288, 216, 41, 122, 2916, 1536, 1024, 864, 122, 365, 17496, 8192, 6156, 4100, 3456, 365, 1094, 104976, 43712, 38256, 31536, 16956, 13824, 1094, 3281, 629856, 235072, 239112, 266116, 175152, 70272, 55296, 3281 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1......2.......5........14..........41..........122............365 ....2.....14......81.......486........2916........17496.........104976 ....5.....54.....288......1536........8192........43712.........235072 ...14....216....1024......6156.......38256.......239112........1530060 ...41....864....4100.....31536......266116......2292520.......20917472 ..122...3456...16956....175152.....2130176.....26615196......351504904 ..365..13824...70272....982152....17258544....306863916.....5814135340 .1094..55296..291320...5645376...142784608...3682615020...101593710948 .3281.221184.1211092..33154200..1211010160..45094867336..1804283175916 .9842.884736.5070832.197081664.10285035212.548546009720.31575745629020 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) -3*a(n-2) k=2: a(n) = 4*a(n-1) for n>3 k=3: [order 17] for n>20 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>3 n=3: [order 18] for n>20 n=4: [order 41] for n>43 EXAMPLE Some solutions for n=4 k=4 ..0..1..0..2. .0..1..1..2. .0..1..0..0. .0..1..1..1. .0..1..2..1 ..1..0..1..0. .2..2..2..0. .1..2..2..0. .1..2..2..0. .0..2..1..2 ..0..2..0..1. .0..2..0..0. .2..2..2..1. .2..2..0..0. .0..1..2..0 ..2..2..1..0. .0..1..1..1. .0..0..1..1. .0..0..1..1. .0..2..1..0 CROSSREFS Column 1 is A007051(n-1). Column 2 is A208428. Row 1 is A007051(n-1). Sequence in context: A268003 A208434 A336110 * A282056 A199655 A241114 Adjacent sequences: A275349 A275350 A275351 * A275353 A275354 A275355 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jul 24 2016 STATUS approved

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Last modified February 20 17:43 EST 2024. Contains 370215 sequences. (Running on oeis4.)