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Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101
1

%I #4 Aug 06 2015 11:14:02

%S 483,481,732,1513,2714,5506,9728,18578,33658,66832,122644,237212,

%T 431888,836918,1545484,2982194,5509198,10561098,19597590,37523150,

%U 69861252,133304344,248584050,473406314,884926304,1682544698,3149522270

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101

%C Column 4 of A260980

%H R. H. Hardin, <a href="/A260976/b260976.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-2) +4*a(n-4) +5*a(n-5) -5*a(n-7) -2*a(n-8) -12*a(n-9) +7*a(n-10) +11*a(n-11) +2*a(n-12) +a(n-13) -4*a(n-15) -11*a(n-16) -8*a(n-17) -a(n-18) -4*a(n-19) for n>26

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260980

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 06 2015