|
%I #5 Mar 31 2012 12:35:52
%S 3,11,37,138,427,1444,4903,16506,55852,187749,633539,2137749,7207808,
%T 24313464,81989501,276535047,932671520,3145519293,10608869096,
%U 35779805168,120673337749,406989614355,1372634462321,4629426356298
%N Number of nX3 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 3 of A183517
%H R. H. Hardin, <a href="/A183511/b183511.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=3*a(n-1)+a(n-2)+2*a(n-4)+45*a(n-5)-130*a(n-6)-10*a(n-7)-57*a(n-8)-116*a(n-9)-609*a(n-10)+1826*a(n-11)-154*a(n-12)+1188*a(n-13)+1483*a(n-14)+3325*a(n-15)-8688*a(n-16)+2928*a(n-17)-12411*a(n-18)-5714*a(n-19)-6617*a(n-20)+9668*a(n-21)-16764*a(n-22)+47040*a(n-23)+18374*a(n-24)-316*a(n-25)+16556*a(n-26)+32977*a(n-27)-59292*a(n-28)-28152*a(n-29)-9666*a(n-30)-17496*a(n-31)+5589*a(n-32)+2916*a(n-33)
%e Some solutions for 5X3
%e ..0..0..0....1..0..0....0..1..1....1..1..1....0..1..0....1..0..1....1..1..0
%e ..0..0..0....1..0..1....0..0..0....0..1..0....1..0..0....0..1..0....0..0..1
%e ..1..0..1....0..1..1....0..0..1....0..1..1....0..0..0....1..0..0....1..0..1
%e ..1..0..1....0..0..1....0..1..0....0..1..0....1..1..0....0..0..0....1..1..0
%e ..0..0..0....1..1..0....0..0..0....1..0..0....0..1..1....0..0..0....1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 05 2011
| 