%I #3 Jan 17 2016 06:33:17
%S 1,126,410,2437,21835,326500,7589059,271504873
%N Number of nX(n+3) arrays of permutations of n+3 copies of 0..n-1 with every element equal to or 1 greater than any north or northeast neighbors modulo n and the upper left element equal to 0.
%C Superdiagonal 3 of A267553.
%e Some solutions for n=4
%e ..0..3..0..0..1..2..2....0..3..0..1..0..1..2....0..0..1..1..2..3..2
%e ..0..0..1..1..2..2..2....0..0..1..1..1..2..2....0..1..1..2..3..3..3
%e ..0..1..1..2..3..3..3....0..1..2..2..2..3..3....1..2..2..3..3..0..0
%e ..1..1..2..3..0..3..3....1..2..3..3..3..0..3....2..2..3..0..0..1..1
%Y Cf. A267553.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 17 2016