%I #8 Jun 07 2018 11:17:45
%S 286,128,139,153,176,217,283,388,559,837,1284,2009,3183,5080,8151,
%T 13121,21160,34169,55219,89276,144383,233549,377820,611257,988967,
%U 1600112,2588967,4188969,6777824,10966681,17744395,28710964,46455247,75166101
%N Number of (n+2) X 8 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..1 introduced in row major order.
%C Column 6 of A204381.
%H R. H. Hardin, <a href="/A204379/b204379.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) -a(n-4) -a(n-5) for n>8.
%F Empirical g.f.: x*(286 - 158*x - 275*x^2 - 400*x^3 + 42*x^4 + 163*x^5 + 4*x^6 + 4*x^7) / ((1 - x)*(1 - x - x^2)*(1 + x + x^2)). - _Colin Barker_, Jun 07 2018
%e Some solutions for n=3:
%e ..0..0..0..0..0..0..0..1....0..1..1..1..0..0..0..1....0..0..0..0..0..0..0..1
%e ..1..1..1..1..1..1..1..1....0..0..1..1..1..0..0..0....1..1..1..1..1..1..1..1
%e ..1..1..1..1..1..1..1..1....0..0..0..1..1..1..0..0....1..1..1..1..1..1..1..1
%e ..0..0..0..0..0..0..0..0....1..0..0..0..1..1..1..0....0..0..0..0..0..0..0..0
%e ..1..1..1..1..1..1..1..1....0..1..0..0..0..1..1..1....0..0..0..0..0..0..0..0
%Y Cf. A204381.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 14 2012
|