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 A231037 T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero 11
 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 10, 0, 0, 0, 0, 72, 32, 2, 0, 0, 32, 736, 1344, 278, 12, 0, 0, 80, 9726, 17984, 20250, 2988, 18, 0, 0, 560, 96882, 677204, 783848, 375620, 23058, 56, 0, 0, 2080, 1194032, 18856728, 79772488, 36327118, 6620496, 199272, 170, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,9 COMMENTS Table starts .0..0......0.........0...........0...............0...............0 .0..0......0.........4...........0..............32..............80 .0..2.....10........72.........736............9726...........96882 .0..0.....32......1344.......17984..........677204........18856728 .0..2....278.....20250......783848........79772488......5472540636 .0.12...2988....375620....36327118.....10140483166...1844073908022 .0.18..23058...6620496..1587011224...1171740348034.555813932009140 .0.56.199272.114765278.69795938150.139409083454936 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=2: a(n) = 2*a(n-1) +a(n-2) +4*a(n-3) -4*a(n-4) k=3: [order 9] k=4: [order 37] Empirical for row n: n=2: a(n) = 3*a(n-1) +6*a(n-2) +32*a(n-4) -20*a(n-5) +24*a(n-6) -16*a(n-7) n=3: [order 33] for n>34 EXAMPLE Some solutions for n=3 k=4 ..0..1..0..1....0..1..1..0....0..2..1..0....0..2..0..2....0..1..0..1 ..1..2..2..2....2..2..2..0....0..1..2..0....1..1..1..0....1..2..2..0 ..1..0..1..0....1..0..1..0....0..2..1..0....2..0..2..0....1..0..1..0 CROSSREFS Column 2 is A230813 Sequence in context: A153772 A197007 A011449 * A048243 A159814 A169774 Adjacent sequences:  A231034 A231035 A231036 * A231038 A231039 A231040 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 03 2013 STATUS approved

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Last modified October 16 13:32 EDT 2019. Contains 328093 sequences. (Running on oeis4.)