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%I #6 Mar 31 2012 12:37:30
%S 11,15,15,19,19,19,27,23,23,27,35,31,27,31,35,51,39,35,35,39,51,67,55,
%T 43,43,43,55,67,99,71,59,51,51,59,71,99,131,103,75,67,59,67,75,103,
%U 131,195,135,107,83,75,75,83,107,135,195,259,199,139,115,91,91,91,115,139,199
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having one or four distinct clockwise edge differences
%C Table starts
%C .11..15..19..27..35..51..67..99.131.195.259.387.515.771.1027.1539.2051.3075
%C .15..19..23..31..39..55..71.103.135.199.263.391.519.775.1031.1543.2055.3079
%C .19..23..27..35..43..59..75.107.139.203.267.395.523.779.1035.1547.2059.3083
%C .27..31..35..43..51..67..83.115.147.211.275.403.531.787.1043.1555.2067.3091
%C .35..39..43..51..59..75..91.123.155.219.283.411.539.795.1051.1563.2075.3099
%C .51..55..59..67..75..91.107.139.171.235.299.427.555.811.1067.1579.2091.3115
%C .67..71..75..83..91.107.123.155.187.251.315.443.571.827.1083.1595.2107.3131
%C .99.103.107.115.123.139.155.187.219.283.347.475.603.859.1115.1627.2139.3163
%H R. H. Hardin, <a href="/A209898/b209898.txt">Table of n, a(n) for n = 1..1512</a>
%F Empirical for rows and columns: a(n) = a(n-1) +2*a(n-2) -2*a(n-3)
%F T(n,k)=z(n)+z(k)-5 where z(x)=3*2^(x/2+1) if x is even, z(x)=2^((x-1)/2+3) if x is odd
%e Some solutions for n=4 k=4
%e ..2..0..2..1..2....0..1..0..1..0....1..0..1..0..1....2..1..2..1..2
%e ..0..1..0..2..0....2..0..2..0..2....0..2..0..2..0....0..2..0..2..0
%e ..2..0..2..1..2....1..2..1..2..1....2..1..2..1..2....1..0..1..0..1
%e ..0..1..0..2..0....2..0..2..0..2....0..2..0..2..0....0..2..0..2..0
%e ..2..0..2..1..2....0..1..0..1..0....2..1..2..1..2....2..1..2..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 14 2012
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