A263663 Number of length n arrays of permutations of 0..n-1 with each element moved by -5 to 5 places and with no two consecutive increases or two consecutive decreases.

1, 2, 4, 10, 32, 122, 422, 1222, 3302, 9021, 24558, 69453, 198750, 569814, 1618526, 4609110, 13012670, 36977018, 104466558, 297190402, 840584030, 2392121298, 6764980670, 19248138770, 54423938014, 154841629474, 437824909566

Offset

1,2

Comments

Column 5 of A263666.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 5*a(n-2) +14*a(n-4) +58*a(n-6) +216*a(n-8) +36*a(n-10) -504*a(n-12) +128*a(n-14) -448*a(n-18) +384*a(n-20) -64*a(n-22) for n>34

Example

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

Crossrefs

Cf. A263666.

Sequence in context: A352279 A120017 A000736 * A176006 A263664 A263665

Adjacent sequences: A263660 A263661 A263662 * A263664 A263665 A263666

Keyword

nonn

Author

R. H. Hardin, Oct 23 2015

Status

approved