%I #5 Mar 31 2012 12:37:05
%S 256,61320,73775908,249458849992,3735895473961770
%N Number of (n+1)X(n+1) 0..3 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards
%C Diagonal of A205181
%e Some solutions for n=4
%e ..3..1..3..1..3....3..3..2..3..0....0..2..0..3..0....0..3..3..0..1
%e ..3..3..3..3..3....0..1..2..1..3....2..0..3..1..3....0..0..0..0..1
%e ..3..2..3..2..3....3..3..3..3..1....2..2..2..3..2....1..0..0..3..1
%e ..3..3..3..3..3....0..1..2..1..3....0..3..2..3..2....3..0..1..0..1
%e ..2..3..2..3..3....3..3..3..3..2....2..1..3..3..3....3..0..3..3..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 22 2012