%I #6 Mar 31 2012 12:35:32
%S 1,3,12,58,293,1481,7484,37832,191285,967235,4890912,24731434,
%T 125057361,632367297,3197640264,16169248032,81761725337,413437887795,
%U 2090597850596,10571356673930,53455322317101,270303194968521,1366820253696484
%N Number of nX3 binary arrays with all 1s connected, and all corners 1
%H R. H. Hardin, <a href="/A163047/b163047.txt">Table of n, a(n) for n=1..100</a>
%F For n>6, 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 _Max Alekseyev_, Aug 01 2009]
%F G.f.: -x*(x-1)*(x^2+3*x-1)/(-1+7*x-11*x^2+6*x^3+x^4-7*x^5+x^6). [From _R. J. Mathar_, Aug 11 2009]
%K nonn
%O 1,2
%A _R. H. Hardin_ Jul 20 2009