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 A231049 T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero 13
 0, 0, 0, 0, 2, 0, 0, 14, 2, 0, 0, 32, 50, 10, 0, 0, 100, 128, 410, 22, 0, 0, 428, 644, 2080, 2430, 70, 0, 0, 1616, 5100, 20050, 18688, 16198, 186, 0, 0, 5784, 33696, 310804, 344136, 209440, 103042, 538, 0, 0, 21248, 211032, 4110640, 10631552, 7293728 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0....0........0..........0.............0................0..................0 .0....2.......14.........32...........100..............428...............1616 .0....2.......50........128...........644.............5100..............33696 .0...10......410.......2080.........20050...........310804............4110640 .0...22.....2430......18688........344136.........10631552..........274004640 .0...70....16198.....209440.......7293728........448752816........22665736960 .0..186...103042....2150784.....142466422......17477913984......1729680196768 .0..538...667690...22847008....2871061676.....702369644524....136193662172048 .0.1494..4294910..239510016...57167235796...27889180833188..10596817937397952 .0.4230.27706854.2523778080.1143545760606.1112507026382520.828295717027921136 LINKS R. H. Hardin, Table of n, a(n) for n = 1..179 FORMULA Empirical for column k: k=2: a(n) = 2*a(n-1) +3*a(n-2) -2*a(n-3) k=3: a(n) = 3*a(n-1) +19*a(n-2) +19*a(n-3) +12*a(n-4) -8*a(n-5) +8*a(n-6) k=4: a(n) = 8*a(n-1) +33*a(n-2) -68*a(n-3) k=5: [order 36] k=6: [order 93] Empirical for row n: n=2: a(n) = 3*a(n-1) +8*a(n-3) +6*a(n-4) -4*a(n-5) for n>6 n=3: [order 10] for n>11 n=4: [order 31] for n>32 EXAMPLE Some solutions for n=4 k=4 ..0..3..0..1....0..1..2..3....0..3..0..1....0..1..0..3....0..1..2..1 ..0..1..2..1....2..3..0..3....2..1..2..3....2..3..2..1....0..3..0..1 ..2..1..0..3....0..3..2..3....2..1..2..1....0..3..2..1....0..1..2..1 ..2..3..2..1....2..1..0..1....0..3..0..1....2..1..0..1....2..3..0..3 CROSSREFS Column 2 is A230893 Sequence in context: A231031 A061848 A193294 * A231080 A231246 A216991 Adjacent sequences: A231046 A231047 A231048 * A231050 A231051 A231052 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 03 2013 STATUS approved

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Last modified October 3 20:04 EDT 2023. Contains 365870 sequences. (Running on oeis4.)