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A259888 Number of (n+2) X (2+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011. 1

%I #8 Dec 27 2018 08:42:25

%S 67,174,653,1853,4662,13704,40955,114098,320200,925820,2650721,

%T 7507059,21402747,61226147,174506650,497034443,1418169080,4046094873,

%U 11534896627,32891041296,93814175452,267543153907,762917347904,2175699989264

%N Number of (n+2) X (2+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011.

%H R. H. Hardin, <a href="/A259888/b259888.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) - 3*a(n-2) + 11*a(n-3) - 8*a(n-4) - 5*a(n-5) - 5*a(n-6) - 2*a(n-7) + 3*a(n-8).

%F Empirical g.f.: x*(67 - 27*x + 332*x^2 - 321*x^3 - 316*x^4 - 179*x^5 - 125*x^6 + 156*x^7) / (1 - 3*x + 3*x^2 - 11*x^3 + 8*x^4 + 5*x^5 + 5*x^6 + 2*x^7 - 3*x^8). - _Colin Barker_, Dec 27 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 2 of A259894.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 07 2015

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Last modified July 21 06:08 EDT 2024. Contains 374463 sequences. (Running on oeis4.)