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1/4 the number of (n+1)X(n+1) 0..2 arrays with every 2X2 subblock having distinct edge sums
1

%I #6 Mar 31 2012 12:37:28

%S 4,17,64,512,2176,52784,242176,22205984,103942144,39954751040,

%T 183158185984,304199179800704,1345426301157376,9591893861120254208,

%U 41024530124682428416,1232880451618561434845696

%N 1/4 the number of (n+1)X(n+1) 0..2 arrays with every 2X2 subblock having distinct edge sums

%C Diagonal of A209382

%H R. H. Hardin, <a href="/A209375/b209375.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 07 2012