A204538 - OEIS

%I #5 Mar 31 2012 12:37:02

%S 660,9043,9043,132993,212290,132993,1303179,5430396,5430396,1303179,

%T 16041873,87110239,271257261,87110239,16041873,207574351,1851793487,

%U 6010070946,6010070946,1851793487,207574351,2345643287,42694542185

%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 or nw-to-se diagonally exactly two ways, and new values 0..3 introduced in row major order

%C Table starts

%C .........660.........9043.........132993.......1303179......16041873

%C ........9043.......212290........5430396......87110239....1851793487

%C ......132993......5430396......271257261....6010070946..223736066952

%C .....1303179.....87110239.....6010070946..175609133220.9923132759682

%C ....16041873...1851793487...223736066952.9923132759682

%C ...207574351..42694542185.10108774450967

%C ..2345643287.825548834273

%C .28467730050

%H R. H. Hardin, <a href="/A204538/b204538.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=3 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 16 2012