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%I #4 Oct 22 2015 12:40:18
%S 1,2,6,16,52,208,800,3360,16224,78088,393408,2189872,12371616,
%T 71835000,448860480,2871278464,18727425440,129070035784,913845701344
%N Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and the median of every three consecutive elements nondecreasing.
%C Diagonal of A263597.
%e Some solutions for n=6
%e ..0....0....5....4....0....4....4....4....1....5....2....3....1....0....0....4
%e ..1....3....0....2....2....2....1....0....2....2....0....1....2....5....3....1
%e ..2....2....2....0....5....1....0....1....4....1....4....2....0....2....2....0
%e ..3....1....3....5....3....5....2....3....0....3....3....4....3....1....4....5
%e ..4....4....1....3....1....3....3....5....3....4....1....5....4....3....5....2
%e ..5....5....4....1....4....0....5....2....5....0....5....0....5....4....1....3
%Y Cf. A263597.
%K nonn
%O 1,2
%A _R. H. Hardin_, Oct 22 2015
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