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Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and the total absolute value of displacements not greater than n.
0

%I #4 Oct 30 2015 07:58:53

%S 1,2,3,11,17,70,108,483,739,3426,5216,24854,37674,182772,276148,

%T 1358047,2046503,10169242,15292352,76617430

%N Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and the total absolute value of displacements not greater than n.

%C Diagonal of A263939.

%e Some solutions for n=7

%e ..0....0....0....0....0....0....0....0....0....1....0....0....0....0....2....0

%e ..1....2....2....2....1....2....1....1....1....0....3....1....1....2....0....1

%e ..2....3....1....1....3....1....3....4....2....3....1....2....3....1....1....2

%e ..6....1....5....3....2....3....4....3....5....4....4....3....2....4....3....5

%e ..3....5....3....4....5....5....2....2....3....2....2....5....4....5....5....3

%e ..4....4....4....5....4....4....6....6....6....5....5....6....6....3....4....4

%e ..5....6....6....6....6....6....5....5....4....6....6....4....5....6....6....6

%Y Cf. A263939.

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 30 2015