A263731 Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and the average of every three consecutive elements is never greater than the median of the previous three elements.

1, 2, 6, 14, 38, 127, 411, 1492, 6478, 27635, 130093, 695563, 3762131, 21947993, 141325992, 926081758, 6469911674, 48818612195

Offset

1,2

Comments

Diagonal of A263736.

Links

Table of n, a(n) for n=1..18.

Example

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

Crossrefs

Cf. A263736.

Sequence in context: A263733 A263734 A263735 * A293742 A299119 A348010

Adjacent sequences: A263728 A263729 A263730 * A263732 A263733 A263734

Keyword

nonn

Author

R. H. Hardin, Oct 25 2015

Status

approved