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Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX3 array
1

%I #4 Oct 09 2012 07:07:36

%S 9,27,163,877,5119,29101,166193,949883,5424617,30992313,177045523,

%T 1011403721,5777856321,33007064639,188559321601,1077181452713,

%U 6153607089559,35153670287907,200822133317793,1147235248764407

%N Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX3 array

%C Column 3 of A217645

%H R. H. Hardin, <a href="/A217640/b217640.txt">Table of n, a(n) for n = 1..71</a>

%F Empirical: a(n) = 5*a(n-1) +3*a(n-2) +9*a(n-3) -10*a(n-4) -7*a(n-5) -166*a(n-6) -3*a(n-7) -122*a(n-8) -71*a(n-9) +165*a(n-10) +43*a(n-11) -43*a(n-12) -7*a(n-13) +3*a(n-14) for n>15

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 09 2012