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A234118 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.

%I A234118 #6 Jun 02 2025 09:11:54
%S A234118 3127,116801,4279065,157630963,5807422543,214027901025,7888454356625,
%T A234118 290756314787875,10716964158533127,395017615132720993,
%U A234118 14560017639995412841,536670372954048895219,19781236893820566186079
%N A234118 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 A234118 Column 4 of A234122
%H A234118 R. H. Hardin, <a href="/A234118/b234118.txt">Table of n, a(n) for n = 1..210</a>
%F A234118 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 A234118 Some solutions for n=2
%e A234118 ..1..1..1..1..0....0..0..1..1..1....1..1..0..0..0....1..2..1..2..1
%e A234118 ..0..1..2..1..0....1..1..0..1..0....0..0..0..0..0....2..2..1..1..2
%e A234118 ..0..1..1..1..1....0..0..1..0..1....0..0..1..0..1....1..2..1..2..1
%K A234118 nonn
%O A234118 1,1
%A A234118 _R. H. Hardin_, Dec 19 2013