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Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001011
1

%I #4 Jul 22 2015 07:43:38

%S 99,230,747,2027,5420,15306,42175,114513,316679,874845,2397776,

%T 6596755,18184634,50001731,137513534,378580791,1041706050,2865675286,

%U 7885936120,21700245925,59706090387,164287119004,452064660346,1243881032722

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001011

%C Column 3 of A260284

%H R. H. Hardin, <a href="/A260279/b260279.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-3) +17*a(n-4) +20*a(n-5) -19*a(n-6) -46*a(n-7) -49*a(n-8) +2*a(n-9) +27*a(n-10) +34*a(n-11) +9*a(n-12) -4*a(n-13) -4*a(n-14) for n>19

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A260284

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 22 2015