The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #5 Mar 31 2012 12:35:52
%S 1,3,3,4,9,4,8,36,36,8,18,128,256,128,18,32,540,2088,2088,540,32,64,
%T 2048,16512,33057,16512,2048,64,132,8256,131072,524288,524288,131072,
%U 8256,132,256,32784,1048576,8388608,16796160,8388608,1048576,32784,256,512,131328
%N T(n,k)=Half the number of nXk 0..2 arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors
%C Table starts
%C ...1......3.........4...........8...........18............32............64
%C ...3......9........36.........128..........540..........2048..........8256
%C ...4.....36.......256........2088........16512........131072.......1048576
%C ...8....128......2088.......33057.......524288.......8388608.....134226432
%C ..18....540.....16512......524288.....16796160.....536870912...17180393472
%C ..32...2048....131072.....8388608....536870912...34359738368.2199023255552
%C ..64...8256...1048576...134226432..17180393472.2199023255552
%C .132..32784...8392704..2147483648.549761399856
%C .256.131328..67113216.34360795152
%C .512.524288.536870912
%H R. H. Hardin, <a href="/A183501/b183501.txt">Table of n, a(n) for n = 1..83</a>
%e Some solutions for 4X3
%e ..0..2..0....2..0..0....0..1..1....0..0..1....1..0..2....0..2..0....1..0..2
%e ..0..0..2....1..0..1....1..1..2....2..0..2....2..2..0....2..0..2....2..2..1
%e ..1..0..1....0..0..0....1..2..1....1..1..0....0..1..1....1..1..0....0..1..2
%e ..2..2..1....1..2..0....0..1..1....2..2..1....1..2..1....2..2..1....1..2..2
%Y Column 6 is half of A183501, powers of 64
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 05 2011