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A263692 Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and every three consecutive elements having its maximum within 3 of its minimum. 1
1, 2, 6, 24, 18, 18, 24, 40, 64, 100, 144, 216, 324, 496, 748, 1136, 1712, 2596, 3920, 5940, 8976, 13592, 20548, 31104, 47036, 71184, 107664, 162916, 246432, 372868, 564048, 853400, 1291012, 1953232, 2954892, 4470512, 6763184, 10232036, 15479600 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) + a(n-2) - a(n-3) + a(n-4) for n>12.

Empirical g.f.: x*(1 + x + 3*x^2 + 17*x^3 - 11*x^4 - 20*x^5 + 6*x^6 - 8*x^7 + 2*x^9 - 4*x^10 - 4*x^11) / (1 - x - x^2 + x^3 - x^4). - Colin Barker, Jan 02 2019

EXAMPLE

Some solutions for n=7:

..0....0....1....1....1....0....0....1....0....0....0....0....0....0....2....3

..1....1....0....0....0....1....2....0....1....2....1....1....2....1....0....0

..2....3....2....2....2....2....1....2....2....1....2....3....1....2....1....1

..3....2....3....3....3....3....4....3....3....3....4....2....3....3....3....2

..5....4....4....5....5....4....3....4....4....4....3....5....4....5....4....4

..6....5....6....4....6....6....6....5....5....5....6....4....6....4....5....5

..4....6....5....6....4....5....5....6....6....6....5....6....5....6....6....6

CROSSREFS

Column 3 of A263693.

Sequence in context: A321475 A004154 A076126 * A319544 A124900 A068819

Adjacent sequences:  A263689 A263690 A263691 * A263693 A263694 A263695

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 23 2015

STATUS

approved

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Last modified August 10 19:52 EDT 2020. Contains 336381 sequences. (Running on oeis4.)