%I #5 Jun 07 2021 15:35:45
%S 1,126,202,2516,39176,552162,6837388,77332028,812885568,8070454972,
%T 77792565998
%N Number of n X (n+3) arrays of permutations of n+3 copies of 0..n-1 with every element equal to or 1 greater than any southwest or northwest neighbors modulo n and the upper left element equal to 0.
%C Superdiagonal 3 of A267328.
%e Some solutions for n=4
%e ..0..1..1..2..2..3..0....0..1..1..2..2..3..3....0..0..1..1..2..2..3
%e ..0..1..1..2..3..3..3....1..1..2..2..3..3..0....3..0..1..1..2..3..3
%e ..0..1..2..2..3..3..0....0..1..2..2..3..0..0....0..0..1..2..2..3..3
%e ..0..1..1..2..2..3..0....0..1..2..3..3..0..1....0..1..1..2..2..3..0
%Y Cf. A267328.
%K nonn,more
%O 1,2
%A _R. H. Hardin_, Jan 13 2016