%I #5 Mar 31 2012 12:37:05
%S 81,6138,1649549,1099532113,2353566223899,13538086185801579,
%T 239515966345579392136
%N Number of (n+1)X(n+1) 0..2 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards
%C Diagonal of A205206
%e Some solutions for n=4
%e ..0..2..2..2..0....0..2..1..2..2....2..1..1..2..2....2..0..0..1..1
%e ..1..2..0..2..2....2..2..1..2..1....1..0..2..1..2....2..0..1..2..1
%e ..2..0..2..2..2....1..1..2..2..2....2..1..2..2..2....2..0..0..1..2
%e ..2..2..0..2..2....2..2..2..1..2....0..2..1..2..1....2..0..1..2..2
%e ..0..2..2..2..2....1..1..2..2..2....2..1..2..2..2....2..0..2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 23 2012