A183512 - OEIS

%I #5 Mar 31 2012 12:35:52

%S 4,24,138,736,3504,18288,94376,490864,2559872,13257792,68885664,

%T 357944960,1859678592,9662769152,50202415232,260834073856,

%U 1355207165440,7041216239616,36583863431680,190077441806336,987579713175552

%N Number of nX4 binary arrays with each element equal to either the sum mod 2 of its horizontal and vertical neighbors or the sum mod 2 of its diagonal and antidiagonal neighbors

%C Column 4 of A183517

%H R. H. Hardin, <a href="/A183512/b183512.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=4*a(n-1)+32*a(n-3)+4*a(n-4)+96*a(n-5)-368*a(n-6)-512*a(n-7)-2560*a(n-8)-1120*a(n-9)-1280*a(n-10)+3840*a(n-11)+40960*a(n-12)+64000*a(n-14)

%e Some solutions for 3X4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2011