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 A275565 T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2. 12
 1, 2, 2, 3, 14, 3, 6, 36, 54, 6, 12, 96, 126, 216, 12, 24, 288, 294, 504, 864, 24, 48, 864, 672, 1176, 1872, 3456, 48, 96, 2592, 1536, 3192, 4056, 7200, 13824, 96, 192, 7776, 3552, 8664, 13104, 15000, 27360, 55296, 192, 384, 23328, 8214, 23712, 42336, 57600 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1......2.......3.......6.......12........24.........48..........96 ...2.....14......36......96......288.......864.......2592........7776 ...3.....54.....126.....294......672......1536.......3552........8214 ...6....216.....504....1176.....3192......8664......23712.......64896 ..12....864....1872....4056....13104.....42336.....138600......453750 ..24...3456....7200...15000....57600....221184.....867456.....3402054 ..48..13824...27360...54150...248520...1140576....5360184....25190406 ..96..55296..104256..196566..1075140...5880600...33275880...188294424 .192.221184..397440..714150..4663710..30456054..206892990..1405458150 .384.884736.1513728.2589894.20186982.157347846.1286374716.10516571736 LINKS R. H. Hardin, Table of n, a(n) for n = 1..286 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) for n>3 k=2: a(n) = 4*a(n-1) for n>3 k=3: a(n) = 2*a(n-1) +8*a(n-2) -16*a(n-4) for n>5 k=4: [order 10] for n>11 k=5: [order 32] for n>34 k=6: [order 35] for n>37 Empirical for row n: n=1: a(n) = 2*a(n-1) for n>3 n=2: a(n) = 3*a(n-1) for n>4 n=3: a(n) = 3*a(n-1) -5*a(n-3) +a(n-4) +7*a(n-5) -5*a(n-6) +2*a(n-8) -a(n-9) for n>10 n=4: [order 25] for n>28 n=5: [order 63] for n>66 EXAMPLE Some solutions for n=4 k=4 ..0..1..2..2. .0..1..1..2. .0..1..2..2. .0..1..2..0. .0..1..2..0 ..1..0..0..1. .0..1..2..0. .1..0..0..2. .0..1..1..2. .1..1..2..2 ..2..2..1..1. .1..2..2..1. .1..0..0..1. .2..0..1..1. .1..0..0..2 ..2..2..1..0. .1..0..0..1. .2..2..1..1. .2..2..0..1. .2..0..0..1 CROSSREFS Column 1 is A003945(n-2). Column 2 is A208428. Row 1 is A003945(n-2). Sequence in context: A094352 A073828 A189312 * A275090 A274983 A153938 Adjacent sequences:  A275562 A275563 A275564 * A275566 A275567 A275568 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Aug 01 2016 STATUS approved

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Last modified October 22 22:22 EDT 2020. Contains 337962 sequences. (Running on oeis4.)