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 A233018 T(n,k)=Number of nXk 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or vertically, top left element zero, and 1 appearing before 2 in row major order 7
 1, 2, 2, 5, 11, 5, 14, 74, 74, 14, 41, 515, 1202, 515, 41, 122, 3602, 19643, 19643, 3602, 122, 365, 25211, 321125, 750092, 321125, 25211, 365, 1094, 176474, 5249894, 28644884, 28644884, 5249894, 176474, 1094, 3281, 1235315, 85827722, 1093911305 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1.......2..........5............14...............41.................122 ....2......11.........74...........515.............3602...............25211 ....5......74.......1202.........19643...........321125.............5249894 ...14.....515......19643........750092.........28644884..........1093911305 ...41....3602.....321125......28644884.......2555361596........227962456547 ..122...25211....5249894....1093911305.....227962456547......47506658438246 ..365..176474...85827722...41775098873...20336458202315....9900284810558324 .1094.1235315.1403151863.1595338735322.1814209743962774.2063199965393914025 LINKS R. H. Hardin, Table of n, a(n) for n = 1..312 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) -3*a(n-2) k=2: a(n) = 8*a(n-1) -7*a(n-2) k=3: a(n) = 19*a(n-1) -45*a(n-2) +27*a(n-3) k=4: a(n) = 46*a(n-1) -312*a(n-2) +530*a(n-3) -263*a(n-4) k=5: [order 8] k=6: [order 14] k=7: [order 33] EXAMPLE Some solutions for n=3 k=4 ..0..1..1..1....0..0..1..3....0..1..1..1....0..1..3..1....0..0..0..1 ..1..1..1..1....0..1..3..1....1..1..3..1....1..3..2..0....2..0..2..0 ..0..1..1..0....0..1..3..3....1..1..3..3....1..1..3..1....0..0..2..2 CROSSREFS Column 1 is A007051(n-1) Column 2 is A199417(n-1) Sequence in context: A296530 A117400 A005637 * A209100 A208864 A259828 Adjacent sequences: A233015 A233016 A233017 * A233019 A233020 A233021 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 03 2013 STATUS approved

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Last modified June 8 03:07 EDT 2023. Contains 363157 sequences. (Running on oeis4.)