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Number of nX2 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..3 nX2 array
2

%I #4 Oct 22 2012 23:20:15

%S 4,28,192,956,5494,30888,172038,964828,5400158,30225794,169223054,

%T 947302656,5303071898,29687164126,166191023656,930351759572,

%U 5208189255764,29155886563482,163217149535782,913703559802622

%N Number of nX2 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..3 nX2 array

%C Column 2 of A218181

%H R. H. Hardin, <a href="/A218175/b218175.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +8*a(n-2) +13*a(n-3) -33*a(n-4) -36*a(n-5) -86*a(n-6) -145*a(n-7) -161*a(n-8) +132*a(n-9) +538*a(n-10) +364*a(n-11) -112*a(n-12) -32*a(n-13)

%e Some solutions for n=3

%e ..0..0....1..3....2..2....0..0....2..2....2..2....2..2....2..3....2..1....0..0

%e ..0..0....1..1....2..2....1..0....0..3....0..0....3..0....0..1....0..0....0..0

%e ..3..0....1..3....2..3....1..1....0..0....0..0....0..0....0..0....0..0....1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 22 2012