A183433 - OEIS

%I #5 Mar 31 2012 12:35:51

%S 1,4,4,16,27,16,64,244,244,64,256,2187,7344,2187,256,1024,19684,

%T 178608,178608,19684,1024,4096,177147,4969216,14348907,4969216,177147,

%U 4096,16384,1594324,131801024,1162613824,1162613824,131801024,1594324,16384

%N T(n,k)=One third the number of nXk 0..3 arrays with no element equal to its row sum plus its column sum mod 4

%C Table starts

%C .....1.......4........16.........64........256......1024.......4096....16384

%C .....4......27.......244.......2187......19684....177147....1594324.14348907

%C ....16.....244......7344.....178608....4969216.131801024.3605232384

%C ....64....2187....178608...14348907.1162613824

%C ...256...19684...4969216.1162613824

%C ..1024..177147.131801024

%C ..4096.1594324

%C .16384

%H R. H. Hardin, <a href="/A183433/b183433.txt">Table of n, a(n) for n = 1..39</a>

%e Some solutions for 4X3

%e ..0..2..0....2..0..2....0..0..2....2..2..1....0..2..2....0..2..2....0..0..1

%e ..2..0..1....0..1..2....2..2..0....0..1..0....1..3..1....0..3..1....2..2..0

%e ..3..0..1....2..0..0....2..3..3....3..2..3....0..0..2....2..0..2....1..1..3

%e ..3..1..1....3..2..1....1..3..1....3..2..1....2..0..0....3..0..2....2..2..3

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 04 2011