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A260133 Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111. 1

%I

%S 138,342,1162,2966,7698,22522,61914,165954,462030,1279574,3493270,

%T 9617162,26547878,72931662,200533394,552344746,1519650534,4179817642,

%U 11503670758,31655891034,87092868954,239649098010,659447987986

%N Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111.

%H R. H. Hardin, <a href="/A260133/b260133.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) - 4*a(n-8) + 4*a(n-9) for n>10.

%F Empirical g.f.: 2*x*(69 + 102*x + 341*x^2 + 41*x^3 - 201*x^4 - 427*x^5 - 137*x^6 - 104*x^7 + 144*x^8 - 12*x^9) / (1 - x - x^2 - 10*x^3 - 4*x^4 + 2*x^5 + 12*x^6 + 5*x^7 + 4*x^8 - 4*x^9).- _Colin Barker_, Dec 28 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 3 of A260138.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2015

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Last modified January 24 21:49 EST 2022. Contains 350565 sequences. (Running on oeis4.)