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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 00000111.
1

%I #4 Aug 28 2015 20:12:53

%S 628,892,1168,734,676,1818,984,748,1096,1168,880,958,2420,1296,1160,

%T 2492,2060,1572,1576,3748,2084,1752,3708,2730,2140,2118,4944,2664,

%U 2432,5930,3988,3150,2988,6862,3720,3292,7972,5024,4036,3782,8648,4568,4240,11020

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00000111.

%C Column 5 of A261709.

%H R. H. Hardin, <a href="/A261708/b261708.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=7

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

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

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

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

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

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

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

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

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

%Y Cf. A261709.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 28 2015