%I #3 Jan 02 2016 08:34:02
%S 1,3,829,1044230,3801147519,32355628895416,552401151665874798,
%T 17030692774688332735790
%N Number of nX4 arrays of permutations of 4 copies of 0..n-1 with no element 1 greater than its northeast neighbor modulo n and the upper left element equal to 0.
%C Column 4 of A266655.
%e Some solutions for n=3
%e ..0..2..0..2....0..1..1..0....0..1..2..2....0..0..1..2....0..1..1..2
%e ..1..0..1..2....1..0..2..0....0..1..2..1....0..0..1..2....0..0..2..2
%e ..0..1..2..1....2..2..2..1....0..2..1..0....2..1..1..2....0..1..2..1
%Y Cf. A266655.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 02 2016