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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 14 18:28 EDT 2019. Contains 328022 sequences. (Running on oeis4.)