%I #5 Mar 31 2012 12:35:31
%S 3,16,82,416,2103,10633,53767,271882,1374808,6951884,35153031,
%T 177755487,898841773,4545100350,22982840520,116215466582,587657328849,
%U 2971559176087,15026042394605,75980970481664,384206813990810
%N Number of nX3 binary arrays with all 1s connected and a path of 1s from top row to lower right corner
%H R. H. Hardin, <a href="/A163012/b163012.txt">Table of n, a(n) for n=1..100</a>
%F Empirical: a(n)= 7*a(n-1) -11*a(n-2) +6*a(n-3) +a(n-4) -7*a(n-5) +a(n-6). [From _R. J. Mathar_, Aug 11 2009]
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 20 2009