A263932 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.

1, 2, 3, 11, 17, 70, 108, 483, 739, 3426, 5216, 24854, 37674, 182772, 276148, 1358047, 2046503, 10169242, 15292352, 76617430

Offset

1,2

Comments

Diagonal of A263939.

Links

Table of n, a(n) for n=1..20.

Example

Some solutions for n=7
..0....0....0....0....0....0....0....0....0....1....0....0....0....0....2....0
..1....2....2....2....1....2....1....1....1....0....3....1....1....2....0....1
..2....3....1....1....3....1....3....4....2....3....1....2....3....1....1....2
..6....1....5....3....2....3....4....3....5....4....4....3....2....4....3....5
..3....5....3....4....5....5....2....2....3....2....2....5....4....5....5....3
..4....4....4....5....4....4....6....6....6....5....5....6....6....3....4....4
..5....6....6....6....6....6....5....5....4....6....6....4....5....6....6....6

Crossrefs

Cf. A263939.

Sequence in context: A263936 A263937 A263938 * A267420 A322422 A024861

Adjacent sequences: A263929 A263930 A263931 * A263933 A263934 A263935

Keyword

nonn

Author

R. H. Hardin, Oct 30 2015

Status

approved