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 A231063 T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero 7
 0, 0, 0, 0, 2, 0, 0, 6, 6, 0, 0, 20, 34, 20, 0, 0, 68, 208, 208, 68, 0, 0, 230, 1272, 2376, 1272, 230, 0, 0, 778, 7818, 27346, 27346, 7818, 778, 0, 0, 2632, 47998, 313944, 585880, 313944, 47998, 2632, 0, 0, 8904, 294832, 3607664, 12582344, 12582344, 3607664 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0....0......0........0..........0............0...............0 .0....2......6.......20.........68..........230.............778 .0....6.....34......208.......1272.........7818...........47998 .0...20....208.....2376......27346.......313944.........3607664 .0...68...1272....27346.....585880.....12582344.......270096962 .0..230...7818...313944...12582344....505135612.....20286249268 .0..778..47998..3607664..270096962..20286249268...1524513500124 .0.2632.294832.41448458.5799242344.814871303100.114623595936566 LINKS R. H. Hardin, Table of n, a(n) for n = 1..127 FORMULA Empirical for column k: k=2: a(n) = 3*a(n-1) +a(n-2) +a(n-3) k=3: [order 10] k=4: [order 31] EXAMPLE Some solutions for n=4 k=4 ..0..1..2..3....0..1..2..3....0..1..0..1....0..3..0..1....0..3..2..3 ..1..0..1..0....3..2..3..0....3..2..3..2....1..2..3..2....1..2..1..0 ..2..3..0..3....2..3..2..1....1..0..1..0....3..0..2..1....2..3..0..3 ..1..2..1..0....1..0..3..2....2..3..2..1....2..1..0..3....1..0..3..2 CROSSREFS Sequence in context: A112964 A350791 A128613 * A295216 A230250 A137250 Adjacent sequences: A231060 A231061 A231062 * A231064 A231065 A231066 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 03 2013 STATUS approved

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Last modified March 25 22:48 EDT 2023. Contains 361529 sequences. (Running on oeis4.)