A263732 Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 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, 815, 1166, 561, 303, 297, 110, 219, 497, 390, 783, 1675, 1173, 2182, 4337, 2911, 6004, 12368, 8233, 16690, 34526, 24029, 46954, 95071, 65332, 129995, 263677, 179653, 359720, 736451, 505953, 1004246, 2044459, 1406750

Offset

1,2

Comments

Column 6 of A263736

Links

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

Formula

Empirical: a(n) = 4*a(n-3) -5*a(n-6) +12*a(n-9) -27*a(n-12) +18*a(n-15) -17*a(n-18) +52*a(n-21) -36*a(n-24) -2*a(n-27) -18*a(n-30) +24*a(n-33) -4*a(n-39) for n>64

Example

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

Crossrefs

Cf. A263736

Sequence in context: A192484 A217861 A188492 * A263733 A263734 A263735

Adjacent sequences: A263729 A263730 A263731 * A263733 A263734 A263735

Keyword

nonn

Author

R. H. Hardin, Oct 25 2015

Status

approved