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A234177 Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1. 1

%I #11 Oct 13 2018 11:53:28

%S 76,388,1978,10120,51886,266434,1369642,7046416,36272464,186794590,

%T 962232940,4957799542,25548455506,131670541054,678652431424,

%U 3498092651092,18031560478354,92949781442344,479151493485070

%N Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.

%H R. H. Hardin, <a href="/A234177/b234177.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) - 27*a(n-2) + 3*a(n-3) + 36*a(n-4) + 12*a(n-5).

%F Empirical g.f.: 2*x*(38 - 186*x + 75*x^2 + 294*x^3 + 96*x^4) / (1 - 10*x + 27*x^2 - 3*x^3 - 36*x^4 - 12*x^5). - _Colin Barker_, Oct 13 2018

%e Some solutions for n=5:

%e 4 3 1 1 2 2 0 1 2 3 4 3 1 1 5 5 1 1 2 2

%e 3 4 2 2 1 2 0 1 2 2 4 3 0 1 5 4 2 2 2 1

%e 3 3 3 2 2 1 1 0 2 2 3 3 0 0 5 5 1 1 1 2

%e 3 3 3 2 1 1 1 1 1 2 3 3 1 1 5 4 1 2 2 1

%e 4 4 2 3 2 1 2 1 1 1 3 2 1 1 5 5 1 1 2 2

%e 5 4 3 3 1 1 1 1 1 0 2 2 1 2 5 5 1 0 2 2

%Y Column 1 of A234184.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2013

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