|
%I #8 Dec 28 2018 09:06:11
%S 48,91,256,557,956,2131,5088,10235,20242,45355,99168,201609,422888,
%T 924655,1959672,4072719,8679398,18623703,39243888,82677405,176286268,
%U 374837907,791289656,1676354907,3565263074,7557825083,15992930920
%N Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111.
%H R. H. Hardin, <a href="/A260063/b260063.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 4*a(n-3) + 5*a(n-4) - 5*a(n-5) - 2*a(n-6).
%F Empirical g.f.: x*(48 + 43*x + 165*x^2 + 109*x^3 - 205*x^4 - 64*x^5) / (1 - x - 4*x^3 - 5*x^4 + 5*x^5 + 2*x^6). - _Colin Barker_, Dec 28 2018
%e Some solutions for n=4:
%e ..1..1..0....0..0..1....0..1..1....1..1..1....0..0..1....0..1..1....0..0..0
%e ..1..0..0....0..1..1....0..0..0....0..0..0....0..1..1....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..1..1
%e ..0..0..0....0..0..0....0..1..0....1..0..0....0..0..0....0..0..1....0..0..1
%e ..0..0..1....0..1..1....0..1..0....0..0..0....0..0..1....0..1..1....0..0..0
%e ..0..1..1....0..1..1....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
%Y Column 1 of A260070.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 14 2015
| 