A360463 - OEIS

A360463

Number of permutations p of [n] such that |p(i+10) - p(i)| <> 10 for i in [n-10].

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39191040, 450293760, 5534403840, 72864645120, 1026562867200, 15441868062720, 247319592468480, 4205303137566720, 75695456476200960, 1438421245702963200, 28616864514850160640

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OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..100

George Spahn and Doron Zeilberger, Counting Permutations Where The Difference Between Entries Located r Places Apart Can never be s (For any given positive integers r and s), arXiv:2211.02550 [math.CO], 2022.

CROSSREFS

Column k=10 of A333706.

Cf. A000142.

Sequence in context: A154658 A179369 A267390 * A397254 A193937 A072167

Adjacent sequences: A360460 A360461 A360462 * A360464 A360465 A360466

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 07 2023

STATUS

approved