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Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001
1

%I #4 Jul 19 2015 07:59:16

%S 220,479,1857,5998,20408,71846,245486,841296,2905978,9992478,34348500,

%T 118254574,406871094,1399624310,4816056622,16570641810,57011471540,

%U 196158495144,674916008534,2322129167778,7989626498572,27489503304114

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001

%C Column 4 of A260207

%H R. H. Hardin, <a href="/A260203/b260203.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +18*a(n-3) +17*a(n-4) +7*a(n-5) -40*a(n-6) -78*a(n-7) -21*a(n-8) +88*a(n-9) +62*a(n-10) -49*a(n-11) -24*a(n-12) +9*a(n-13) -18*a(n-14) +2*a(n-15) +9*a(n-16) +4*a(n-17) +4*a(n-18) for n>19

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260207

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 19 2015