%I #11 Apr 15 2018 08:38:36
%S 1,13,150,1848,22656,278832,3430776,42221928,519611520,6394769688,
%T 78699293256,968538893952,11919644165496,146693048343528,
%U 1805326578739200,22217849450044248,273431322619829256
%N 1/7 the number of n X 2 0..6 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors.
%C Column 2 of A185409.
%H R. H. Hardin, <a href="/A185405/b185405.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 11*a(n1) + 23*a(n2)  72*a(n3)  144*a(n4)  216*a(n5).
%F Empirical g.f.: x*(1 + 2*x  16*x^2  29*x^3  42*x^4) / (1  11*x  23*x^2 + 72*x^3 + 144*x^4 + 216*x^5).  _Colin Barker_, Apr 15 2018
%e Some solutions for 3 X 2 with a(1,1)=0:
%e ..0..0....0..0....0..0....0..0....0..0....0..2....0..3....0..0....0..0....0..0
%e ..2..5....2..2....5..1....6..6....2..2....0..2....0..3....0..6....0..1....6..5
%e ..2..5....5..5....5..1....5..5....4..4....3..3....3..3....6..6....0..1....6..5
%Y Cf. A185409.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 26 2011
