|
%I #8 Dec 30 2018 09:11:47
%S 91,110,288,690,1483,2948,6795,14292,32297,66828,151277,315528,713289,
%T 1485412,3353269,6999606,15784789,32971814,74265077,155329758,
%U 349486647,731717900,1644547773,3446906988,7738976061,16237071190,36418432025
%N Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.
%H R. H. Hardin, <a href="/A261260/b261260.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-2) + 10*a(n-4) + a(n-5) + 9*a(n-6) + a(n-7) + 6*a(n-8) + 2*a(n-10) - 4*a(n-11) + 4*a(n-12) for n>13.
%F Empirical g.f.: x*(91 + 110*x + 106*x^2 + 470*x^3 - 3*x^4 + 377*x^5 + 20*x^6 + 127*x^7 - 61*x^8 + 123*x^9 - 162*x^10 + 146*x^11 - 28*x^12) / (1 - 2*x^2 - 10*x^4 - x^5 - 9*x^6 - x^7 - 6*x^8 - 2*x^10 + 4*x^11 - 4*x^12). - _Colin Barker_, Dec 30 2018
%e Some solutions for n=4:
%e ..0..1..0..1..0....0..0..1..0..0....0..1..0..1..0....0..1..0..1..0
%e ..1..0..1..0..1....0..0..0..1..0....1..0..1..0..0....1..0..1..0..1
%e ..0..1..0..0..0....1..0..1..0..1....0..1..0..1..0....0..1..0..1..0
%e ..1..0..1..0..1....0..1..0..1..0....1..0..1..0..1....1..0..1..0..1
%e ..0..1..0..1..0....0..0..1..0..0....0..0..0..1..0....0..1..0..1..0
%e ..0..0..1..0..0....0..1..0..0..1....0..0..1..0..1....1..0..1..0..1
%Y Column 3 of A261265.
%K nonn
%O 1,1
%A _R. H. Hardin_, Aug 13 2015
| 