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A261288 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00010101 or 01010101. 1

%I #4 Aug 14 2015 07:15:09

%S 166,233,504,1147,2586,6034,14106,32496,75202,175008,405940,940390,

%T 2182098,5064284,11745648,27244774,63209588,146635614,340152614,

%U 789099398,1830590414,4246594798,9851282946,22853254768,53015328992

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00010101 or 01010101.

%C Column 4 of A261292.

%H R. H. Hardin, <a href="/A261288/b261288.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -2*a(n-2) +6*a(n-3) -a(n-4) +4*a(n-5) +a(n-6) -2*a(n-8) +2*a(n-9) -2*a(n-10) -4*a(n-11) -9*a(n-12) +4*a(n-13) -6*a(n-14) -2*a(n-16) -a(n-19) +3*a(n-20) -3*a(n-21) -a(n-24) for n>28

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261292.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 14 2015

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Last modified April 17 21:16 EDT 2024. Contains 371767 sequences. (Running on oeis4.)