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A360384
Number of permutations p of [n] satisfying |p(i+7) - p(i)| <> 7 for all 1 <= i <= n-7.
1
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
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
KEYWORD
nonn,hard,more
AUTHOR
Seiichi Manyama, Feb 05 2023
EXTENSIONS
a(12)-a(20) from Alois P. Heinz, Feb 07 2023
STATUS
approved