|
%I #5 Mar 31 2012 12:36:13
%S 7,49,218,857,3609,15942,69852,302053,1305379,5658937,24549216,
%T 106431608,461300682,1999592300,8668312567,37577096221,162893110032,
%U 706125302623,3060997024742,13269191906269,57520894059888,249348416142040
%N Number of nX3 binary arrays without the pattern 0 1 0 diagonally, vertically, antidiagonally or horizontally
%C Column 3 of A188695
%H R. H. Hardin, <a href="/A188689/b188689.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 5*a(n-1) -8*a(n-2) +21*a(n-3) +9*a(n-4) -23*a(n-5) +45*a(n-6) -57*a(n-7) -112*a(n-8) +55*a(n-9) +93*a(n-10) -3*a(n-11) -27*a(n-12) -4*a(n-13) -6*a(n-14)
%e Some solutions for 4X3
%e ..0..1..1....1..0..1....1..1..0....1..0..1....1..0..0....1..0..0....0..0..1
%e ..0..0..1....1..1..1....1..0..1....1..0..0....1..0..1....1..0..0....1..0..1
%e ..0..0..1....1..1..1....0..1..1....0..0..0....1..0..1....1..0..0....1..0..1
%e ..1..0..1....0..0..0....1..1..1....1..0..0....1..0..0....0..1..1....0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 08 2011
| 