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%I #5 Dec 18 2015 18:18:52
%S 1,4,57,2362,245268,64074526,41971040844,69012323813116,
%T 284711573170326892
%N Number of n X n 0..2 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order
%C Diagonal of A240893
%e Some solutions for n=4
%e ..0..1..2..1....0..1..0..1....0..1..0..0....0..1..0..2....0..1..0..2
%e ..2..0..1..0....1..0..2..0....1..2..0..0....2..0..1..0....1..0..2..0
%e ..0..1..2..1....0..2..1..1....0..0..1..1....0..2..0..1....2..1..0..1
%e ..1..2..1..2....2..0..1..1....0..0..1..1....2..0..1..2....0..2..1..0
%K nonn
%O 1,2
%A _R. H. Hardin_, Apr 14 2014