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Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001011.
1

%I #4 Aug 24 2015 11:00:49

%S 652,871,1210,816,656,1273,1084,855,1036,1259,906,967,1868,1421,1174,

%T 1872,2062,1490,1414,2701,2106,1737,2594,2660,1956,1979,3720,2663,

%U 2258,3851,3776,2770,2630,4948,3568,3023,4994,4687,3466,3399,6362,4345,3746

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001011.

%C Column 5 of A261553.

%H R. H. Hardin, <a href="/A261552/b261552.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-7) -2*a(n-21) +a(n-28) for n>34

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261553.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 24 2015