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%I #3 Dec 01 2015 17:56:22
%S 1,0,6,624,6592,126764,3493730
%N Number of nX4 arrays of permutations of 4 copies of 0..n-1 with row sums equal, column sums equal and full-length antidiagonal sums equal to the short dimension sums.
%C Column 4 of A265117.
%e Some solutions for n=5
%e ..1..1..4..2....1..4..1..2....2..4..0..2....2..0..2..4....1..4..3..0
%e ..0..4..0..4....4..1..3..0....2..3..3..0....1..4..1..2....0..3..3..2
%e ..3..3..0..2....0..0..4..4....0..1..3..4....3..2..3..0....2..1..1..4
%e ..3..1..2..2....3..2..2..1....2..1..1..4....1..0..4..3....4..2..2..0
%e ..3..1..4..0....2..3..0..3....4..1..3..0....3..4..0..1....3..0..1..4
%Y Cf. A265117.
%K nonn
%O 1,3
%A _R. H. Hardin_, Dec 01 2015