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A263939 T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and the total absolute value of displacements not greater than n. 8
1, 1, 2, 1, 2, 3, 1, 2, 3, 5, 1, 2, 3, 11, 8, 1, 2, 3, 11, 17, 13, 1, 2, 3, 11, 17, 49, 21, 1, 2, 3, 11, 17, 70, 80, 34, 1, 2, 3, 11, 17, 70, 108, 249, 55, 1, 2, 3, 11, 17, 70, 108, 423, 414, 89, 1, 2, 3, 11, 17, 70, 108, 483, 664, 1237, 144, 1, 2, 3, 11, 17, 70, 108, 483, 739, 2667 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

...1.....1......1......1......1......1......1......1......1......1......1

...2.....2......2......2......2......2......2......2......2......2......2

...3.....3......3......3......3......3......3......3......3......3......3

...5....11.....11.....11.....11.....11.....11.....11.....11.....11.....11

...8....17.....17.....17.....17.....17.....17.....17.....17.....17.....17

..13....49.....70.....70.....70.....70.....70.....70.....70.....70.....70

..21....80....108....108....108....108....108....108....108....108....108

..34...249....423....483....483....483....483....483....483....483....483

..55...414....664....739....739....739....739....739....739....739....739

..89..1237...2667...3271...3426...3426...3426...3426...3426...3426...3426

.144..2099...4221...5030...5216...5216...5216...5216...5216...5216...5216

.233..6314..17124..22666..24476..24854..24854..24854..24854..24854..24854

.377.10846..27252..34917..37233..37674..37674..37674..37674..37674..37674

.610.32254.110935.158899.176887.181883.182772.182772.182772.182772.182772

.987.56036.177405.245151.268945.275132.276148.276148.276148.276148.276148

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..653

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2)

EXAMPLE

Some solutions for n=7 k=4

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

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

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n+1).

Sequence in context: A264482 A193588 A165884 * A347499 A136311 A243884

Adjacent sequences: A263936 A263937 A263938 * A263940 A263941 A263942

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 30 2015

STATUS

approved

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Last modified January 27 17:42 EST 2023. Contains 359845 sequences. (Running on oeis4.)