A183316 - OEIS

%I #5 Mar 31 2012 12:35:50

%S 8,27,124,480,1975,7833,31428,125103,498825,1985956,7906167,31469417,

%T 125232138,498389829,1983161935,7891800110,31402125248,124956937711,

%U 497214816218,1978508290987,7872687718931,31326612697486,124652113265387

%N Number of nX4 binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it

%C Column 4 of A183322

%H R. H. Hardin, <a href="/A183316/b183316.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=a(n-1)+23*a(n-2)-10*a(n-3)-180*a(n-4)+34*a(n-5)+630*a(n-6)-63*a(n-7)-1081*a(n-8)+73*a(n-9)+914*a(n-10)-50*a(n-11)-352*a(n-12)+14*a(n-13)+47*a(n-14)+a(n-15)-a(n-16)

%e Some solutions for 5X4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 03 2011