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A260495 Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011 1

%I #4 Jul 27 2015 08:32:44

%S 83,136,347,683,942,2115,4393,6800,13290,27885,47140,86478,177017,

%T 317762,571813,1132672,2104849,3796781,7316331,13812624,25170727,

%U 47622068,90289367,166305539,311514903,589735035,1095258406,2043057469,3854473062

%N Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011

%C Column 2 of A260501

%H R. H. Hardin, <a href="/A260495/b260495.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-3) +6*a(n-4) -7*a(n-6) -18*a(n-7) -10*a(n-8) +5*a(n-9) +7*a(n-10) +16*a(n-11) +6*a(n-12) -4*a(n-13) -3*a(n-15) -2*a(n-16) +a(n-17) for n>19

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260501

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 27 2015

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)