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%I #5 Mar 31 2012 12:37:02
%S 3700,99975,99975,2838990,6099132,2838990,72357582,410928067,
%T 410928067,72357582,1908820114,21954021414,69278097544,21954021414,
%U 1908820114,51725097532,1313498195386,8625334175897,8625334175897,1313498195386
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..3 introduced in row major order
%C Table starts
%C ........3700.........99975.......2838990......72357582.......1908820114
%C .......99975.......6099132.....410928067...21954021414....1313498195386
%C .....2838990.....410928067...69278097544.8625334175897.1283785888702600
%C ....72357582...21954021414.8625334175897
%C ..1908820114.1313498195386
%C .51725097532
%H R. H. Hardin, <a href="/A204525/b204525.txt">Table of n, a(n) for n = 1..24</a>
%e Some solutions for n=3 k=3
%e ..0..1..0..1..0....0..0..0..0..0....0..0..0..1..1....0..0..0..0..1
%e ..1..0..0..0..0....1..2..0..1..0....0..1..0..0..1....0..0..2..0..3
%e ..2..2..2..3..2....2..1..3..1..2....1..1..2..0..0....1..2..1..2..0
%e ..2..3..2..2..3....1..3..1..1..2....0..1..0..1..0....1..1..1..1..1
%e ..1..1..3..2..2....0..0..0..0..0....2..0..1..0..0....2..1..2..3..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 15 2012