A360384 Number of permutations p of [n] satisfying |p(i+7) - p(i)| <> 7 for all 1 <= i <= n-7.

1, 1, 2, 6, 24, 120, 720, 5040, 38880, 323520, 2953728, 29666304, 326584320, 3919011840, 50969640960, 705722941440, 10504707686400, 167258901086208, 2836455721721856, 51038126752727040, 971132188892405760

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Roberto Tauraso, The Dinner Table Problem: The Rectangular Case, INTEGERS: Electronic Journal of Combinatorial Number Theory, Vol. 6 (2006), #A11.

Crossrefs

Column k=7 of A333706.

Cf. A110128.

Sequence in context: A152373 A152381 A152385 * A226439 A248840 A072131

Adjacent sequences: A360381 A360382 A360383 * A360385 A360386 A360387

Keyword

nonn,hard,more

Author

Seiichi Manyama, Feb 05 2023

Extensions

a(12)-a(20) from Alois P. Heinz, Feb 07 2023

Status

approved