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A230521 Number of nX3 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero 1

%I #4 Oct 22 2013 05:45:56

%S 0,78,1408,29618,627350,13230788,279167078,5890518102,124290232064,

%T 2622533790338,55335676702862,1167587239742436,24636184990146910,

%U 519825491749928782,10968359831136839008,231433277698034342442

%N Number of nX3 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero

%C Column 3 of A230526

%H R. H. Hardin, <a href="/A230521/b230521.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 17*a(n-1) +74*a(n-2) +257*a(n-3) +159*a(n-4) -208*a(n-5) -590*a(n-6) -120*a(n-7) +48*a(n-8) +48*a(n-9)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 22 2013

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