A208120 - OEIS

%I #5 Mar 31 2012 12:37:21

%S 12,144,420,1225,7315,43681,175560,705600,3503640,17397241,76934095,

%T 340218025,1602280260,7546049424,34331884092,156198057961,

%U 724234470091,3358015935121,15408300507600,70701190560000,326286103743600

%N Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically

%C Row 5 of A208118

%H R. H. Hardin, <a href="/A208120/b208120.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) -6*a(n-2) +29*a(n-3) +247*a(n-4) +246*a(n-5) +1656*a(n-6) -9936*a(n-8) -8856*a(n-9) -53352*a(n-10) -37584*a(n-11) +46656*a(n-12) -46656*a(n-13) +279936*a(n-14)

%e Some solutions for n=4

%e ..1..0..1..1....1..0..1..1....0..1..1..0....0..1..1..1....1..0..0..1

%e ..1..1..0..1....1..0..0..1....0..1..1..1....0..0..1..1....0..1..1..0

%e ..0..0..1..1....1..0..0..1....0..1..1..0....0..1..1..1....1..0..0..1

%e ..1..0..0..1....1..0..0..1....0..0..1..1....0..0..1..1....0..1..1..0

%e ..0..0..1..1....1..0..0..1....0..1..1..0....0..1..1..1....1..0..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 23 2012