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A199261 T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to exactly one horizontal or vertical neighbor 4

%I #5 Mar 31 2012 12:36:36

%S 0,0,0,0,0,0,0,3,3,0,0,0,0,0,0,1,0,18,18,0,1,0,36,0,0,0,36,0,0,0,114,

%T 0,0,114,0,0,0,0,0,1240,0,1240,0,0,0,0,449,713,0,5381,5381,0,713,449,

%U 0,0,0,0,0,0,54588,0,0,0,0,0,5,0,4508,73456,0,278570,278570,0,73456,4508,0,5,0

%N T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to exactly one horizontal or vertical neighbor

%C Table starts

%C .0...0....0.....0....0.........1......0..........0..........0.........0

%C .0...0....3.....0....0........36......0..........0........449.........0

%C .0...3....0....18....0.......114......0........713..........0......4508

%C .0...0...18.....0....0......1240......0..........0......73456.........0

%C .0...0....0.....0....0......5381......0..........0..........0.........0

%C .1..36..114..1240.5381.....54588.278570....2397792...14900001.116469925

%C .0...0....0.....0....0....278570......0..........0..........0.........0

%C .0...0..713.....0....0...2397792......0..........0.3059210362.........0

%C .0.449....0.73456....0..14900001......0.3059210362..........0

%C .0...0.4508.....0....0.116469925......0..........0

%H R. H. Hardin, <a href="/A199261/b199261.txt">Table of n, a(n) for n = 1..161</a>

%e Some solutions for n=9 k=4

%e ..0..0..1..2....0..0..1..1....0..1..0..0....0..0..1..1....0..1..2..0

%e ..1..2..1..2....1..1..0..2....0..1..2..2....2..2..0..2....0..1..2..0

%e ..1..2..0..0....2..2..0..2....2..0..1..1....1..1..0..2....2..2..1..1

%e ..0..0..1..1....1..1..2..1....2..0..2..0....2..2..1..1....0..0..2..2

%e ..1..1..0..0....0..0..2..1....1..1..2..0....0..1..2..0....2..2..0..0

%e ..2..0..2..2....2..2..0..0....2..0..1..1....0..1..2..0....0..1..2..1

%e ..2..0..1..1....1..0..2..1....2..0..2..2....2..2..0..1....0..1..2..1

%e ..1..1..0..2....1..0..2..1....1..2..1..1....0..1..0..1....1..2..0..0

%e ..2..2..0..2....2..2..0..0....1..2..0..0....0..1..2..2....1..2..1..1

%K nonn,tabl

%O 1,8

%A _R. H. Hardin_ Nov 04 2011

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Last modified April 24 03:08 EDT 2024. Contains 371918 sequences. (Running on oeis4.)