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A234117 Number of (n+1) X (3+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 A234117 #7 Oct 12 2018 15:00:12
%S A234117 673,12593,231713,4279065,79003521,1458813409,26937444801,
%T A234117 497411686793,9184935953377,169604155276817,3131820756402657,
%U A234117 57830550281200505,1067868451774107585,19718695887361293761,364115043587212161409
%N A234117 Number of (n+1) X (3+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 A234117 R. H. Hardin, <a href="/A234117/b234117.txt">Table of n, a(n) for n = 1..210</a>
%F A234117 Empirical: a(n) = 20*a(n-1) - 10*a(n-2) - 324*a(n-3) - 277*a(n-4) + 144*a(n-5).
%F A234117 Empirical g.f.: x*(673 - 867*x - 13417*x^2 - 11213*x^3 + 5904*x^4) / (1 - 20*x + 10*x^2 + 324*x^3 + 277*x^4 - 144*x^5). - _Colin Barker_, Oct 12 2018
%e A234117 Some solutions for n=2:
%e A234117 ..2..2..2..1....1..1..1..0....1..2..2..1....1..1..1..2....2..1..1..2
%e A234117 ..2..1..1..1....0..0..0..0....1..1..1..2....0..1..2..1....2..2..1..1
%e A234117 ..1..1..2..2....0..0..1..1....1..2..2..2....1..1..2..2....1..1..1..1
%Y A234117 Column 3 of A234122.
%K A234117 nonn
%O A234117 1,1
%A A234117 _R. H. Hardin_, Dec 19 2013