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Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101
1

%I #4 Jul 29 2015 22:38:14

%S 58,118,250,532,1136,2480,5418,11776,25694,56138,122376,266782,582226,

%T 1270070,2769414,6041044,13178442,28742456,62690698,136748242,

%U 298274638,650578696,1419055920,3095272272,6751343236,14725993444,32120472836

%N Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101

%C Column 2 of A260609

%H R. H. Hardin, <a href="/A260603/b260603.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +4*a(n-3) +3*a(n-4) +2*a(n-6) +2*a(n-7) -4*a(n-8) +3*a(n-9) +4*a(n-10) -a(n-11) +a(n-12) +a(n-13) for n>14

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260609

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 29 2015