A263696 Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and every three consecutive elements having its maximum within 4 of its minimum.

1, 1, 2, 6, 24, 120, 288, 456, 768, 1508, 3434, 7560, 16024, 31872, 61704, 122464, 246296, 500506, 1015010, 2041372, 4098824, 8224718, 16535378, 33298104, 67036986, 134932118, 271438490, 545959366, 1098340012, 2209778140

Offset

0,3

Links

Table of n, a(n) for n=0..29.

Example

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

Crossrefs

Diagonal of A263703.

Cf. A333833.

Sequence in context: A263700 A263701 A263702 * A189852 A189564 A276839

Adjacent sequences: A263693 A263694 A263695 * A263697 A263698 A263699

Keyword

nonn

Author

R. H. Hardin, Oct 24 2015

Extensions

a(0), a(23)-a(29) from Alois P. Heinz, Apr 08 2020

Status

approved