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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 00010101
1

%I #4 Jul 26 2015 17:59:20

%S 103,213,658,1723,4607,13198,36254,98246,272542,752720,2061534,

%T 5677324,15656100,43045526,118431170,326172286,897659278,2470110390,

%U 6799627354,18715886532,51508911086,141773805068,390225182152,1074023884216

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101

%C Column 3 of A260475

%H R. H. Hardin, <a href="/A260470/b260470.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +10*a(n-3) +4*a(n-4) -2*a(n-5) -12*a(n-6) -5*a(n-7) -2*a(n-8) +4*a(n-9) +4*a(n-10) -8*a(n-11) -10*a(n-12) -8*a(n-13) +8*a(n-14) -a(n-16) +3*a(n-17) +2*a(n-18) +2*a(n-19) for n>22

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260475

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 26 2015