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A233079 Number of n X 5 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order. 1

%I #8 Oct 07 2018 08:36:16

%S 41,4631,529862,60632429,6938214854,793945203881,90851753687090,

%T 10396235291448605,1189649113515482414,136132453105625552657,

%U 15577740173984637831242,1782572659143148713774245

%N Number of n X 5 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order.

%H R. H. Hardin, <a href="/A233079/b233079.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 118*a(n-1) - 411*a(n-2) + 294*a(n-3).

%F Empirical g.f.: x*(41 - 207*x + 255*x^2) / ((1 - x)*(1 - 117*x + 294*x^2)). - _Colin Barker_, Oct 07 2018

%e Some solutions for n=2:

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

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

%Y Column 5 of A233082.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2013

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