|
%I #8 Dec 27 2018 11:54:03
%S 34,60,156,365,801,1825,4272,9840,22444,51509,118673,272721,625828,
%T 1437556,3303988,7590621,17435081,40053457,92021928,211404824,
%U 485651892,1115697125,2563141785,5888362641,13527406476,31076799084,71393512556
%N Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101.
%H R. H. Hardin, <a href="/A259945/b259945.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + a(n-2) + 2*a(n-3) + 6*a(n-4) - a(n-6) + a(n-7) - a(n-8) for n>9.
%F Empirical g.f.: x*(34 + 26*x + 62*x^2 + 81*x^3 - 44*x^4 - 13*x^5 + 14*x^6 - 23*x^7 + 6*x^8) / ((1 + x)*(1 - 2*x + x^2 - 3*x^3 - 3*x^4 + 3*x^5 - 2*x^6 + x^7)). - _Colin Barker_, Dec 27 2018
%e Some solutions for n=4:
%e ..1..0..0....1..0..0....0..0..1....0..0..0....0..1..0....0..0..1....1..0..0
%e ..0..1..0....0..0..0....0..0..0....0..0..0....0..1..0....0..0..0....0..1..0
%e ..0..0..0....1..0..0....0..0..0....0..1..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..1..0....0..0..0
%e ..0..1..0....0..0..0....0..0..1....0..0..0....0..0..0....0..1..0....1..0..0
%e ..0..1..0....1..0..1....0..0..0....1..0..0....1..0..1....0..0..0....0..1..0
%Y Column 1 of A259952.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 10 2015
| 