A186825 - OEIS

%I #5 Mar 31 2012 12:36:06

%S 126,606,606,2904,3988,2904,14229,25808,25808,14229,70767,173121,

%T 222632,173121,70767,351549,1190637,2009622,2009622,1190637,351549,

%U 1750896,8178097,18829218,24581099,18829218,8178097,1750896,8730234,56422648

%N T(n,k)=Half the number of (n+2)X(k+2) binary arrays with each 3X3 subblock having sum 4 or 5

%C Table starts

%C .......126.........606..........2904...........14229.............70767

%C .......606........3988.........25808..........173121...........1190637

%C ......2904.......25808........222632.........2009622..........18829218

%C .....14229......173121.......2009622........24581099.........315843055

%C .....70767.....1190637......18829218.......315843055........5634207241

%C ....351549.....8178097.....175882357......4037185979.......99751773733

%C ...1750896....56422648....1653336285.....52016332522.....1783799078413

%C ...8730234...390661554...15639380661....676967599202....32322581577916

%C ..43522407..2704080467..147826932337...8797063846281...584495537657334

%C .217032372.18732156320.1399067559974.114525000303377.10594536209194545

%H R. H. Hardin, <a href="/A186825/b186825.txt">Table of n, a(n) for n = 1..111</a>

%e Some solutions for 5X4 with a(1,1)=0

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 27 2011