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A234116 Number of (n+1) X (2+1) 0..2 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.

%I A234116 #7 Oct 12 2018 15:32:10
%S A234116 145,1361,12593,116801,1082977,10041953,93113761,863396401,8005833073,
%T A234116 74233997105,688333901137,6382568345057,59182293086657,
%U A234116 548767146042305,5088437180610625,47182476443409233,437498981379983185
%N A234116 Number of (n+1) X (2+1) 0..2 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.
%H A234116 R. H. Hardin, <a href="/A234116/b234116.txt">Table of n, a(n) for n = 1..210</a>
%F A234116 Empirical: a(n) = 10*a(n-1) - 4*a(n-2) - 26*a(n-3) + 5*a(n-4).
%F A234116 Empirical g.f.: x*(145 - 89*x - 437*x^2 + 85*x^3) / (1 - 10*x + 4*x^2 + 26*x^3 - 5*x^4). - _Colin Barker_, Oct 12 2018
%e A234116 Some solutions for n=4:
%e A234116 ..1..1..2....1..1..1....0..1..1....1..1..1....1..2..1....0..0..1....0..0..1
%e A234116 ..2..1..2....1..1..2....1..0..1....2..1..0....2..2..2....0..1..0....0..0..1
%e A234116 ..1..1..1....2..2..1....1..0..1....1..1..1....1..1..2....0..0..1....0..0..0
%e A234116 ..2..2..1....1..1..2....1..0..0....2..1..2....0..1..2....1..1..1....0..0..1
%e A234116 ..1..2..1....2..2..1....0..1..1....2..1..2....1..1..1....1..1..1....0..1..0
%Y A234116 Column 2 of A234122.
%K A234116 nonn
%O A234116 1,1
%A A234116 _R. H. Hardin_, Dec 19 2013