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Number of (n+1)X(3+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 or 0111
1

%I #4 Jun 26 2015 17:30:12

%S 142,1366,12953,123306,1172659,11155819,106118138,1009466878,

%T 9602626846,91346008647,868937609248,8265855103277,78629755083895,

%U 747973270226802,7115169104694298,67683744437222992,643848260656503313

%N Number of (n+1)X(3+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 or 0111

%C Column 3 of A259427

%H R. H. Hardin, <a href="/A259422/b259422.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +41*a(n-2) -44*a(n-3) -278*a(n-4) +51*a(n-5) +426*a(n-6) +36*a(n-7) -131*a(n-8)

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A259427

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 26 2015