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Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1
1

%I #4 Dec 19 2013 17:43:45

%S 3127,116801,4279065,157630963,5807422543,214027901025,7888454356625,

%T 290756314787875,10716964158533127,395017615132720993,

%U 14560017639995412841,536670372954048895219,19781236893820566186079

%N Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

%C Column 4 of A234122

%H R. H. Hardin, <a href="/A234118/b234118.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 50*a(n-1) -427*a(n-2) -2748*a(n-3) +22158*a(n-4) +50476*a(n-5) -220478*a(n-6) -236864*a(n-7) +237555*a(n-8) +152850*a(n-9) -74775*a(n-10) -7956*a(n-11)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2013