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A259637 Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 or 00000001. 1

%I

%S 69,171,581,1483,3849,11261,30957,82977,231015,639787,1746635,4808581,

%T 13273939,36465831,100266697,276172373,759825267,2089908821,

%U 5751835379,15827945517,43546434477,119824549005,329723993993,907239344187

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

%H R. H. Hardin, <a href="/A259637/b259637.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.: 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 26 2018

%e Some solutions for n=4:

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

%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..0..0....0..0..0..0..0....0..0..0..0..0

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

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

%Y Column 3 of A259642.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 02 2015

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Last modified May 23 11:05 EDT 2019. Contains 323513 sequences. (Running on oeis4.)