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A263678 Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and with no two consecutive decreases. 1
1, 2, 5, 17, 53, 155, 429, 1210, 3457, 9948, 28528, 81636, 233344, 667390, 1909626, 5464861, 15637212, 44741387, 128011961, 366269502, 1047988385, 2998562936, 8579622673, 24548350663, 70238679485, 200969734254, 575022887468 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A263683.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +3*a(n-2) +3*a(n-3) +5*a(n-4) +9*a(n-5) +22*a(n-6) -21*a(n-8) -13*a(n-9) +2*a(n-10) +3*a(n-11) -15*a(n-12) +7*a(n-14) +5*a(n-15) -a(n-16) -2*a(n-17) +3*a(n-18) -a(n-20)

EXAMPLE

Some solutions for n=7

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

..0....4....0....1....2....1....3....2....2....0....1....1....4....3....1....1

..5....5....1....3....3....2....0....1....1....4....5....4....0....4....5....3

..2....6....5....2....1....6....2....3....6....1....2....0....2....0....0....2

..3....1....3....5....4....3....4....5....3....6....6....3....3....2....6....4

..6....2....6....4....5....4....5....4....4....3....3....6....5....5....2....6

..4....3....4....6....6....5....6....6....5....5....4....5....6....6....4....5

CROSSREFS

Cf. A263683.

Sequence in context: A148406 A148407 A141303 * A133510 A191640 A148408

Adjacent sequences:  A263675 A263676 A263677 * A263679 A263680 A263681

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 23 2015

STATUS

approved

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Last modified October 20 15:15 EDT 2019. Contains 328267 sequences. (Running on oeis4.)