A174082 Number of circular permutations of (0,1,...,n-1) with no consecutive triples i,i+d,i+2d for all d>0.

1, 1, 1, 5, 18, 91, 544, 3842, 30573, 277532, 2770405, 30591153, 366836571

Offset

1,4

Comments

Circular permutations are permutations whose indices are from the ring of integers modulo n.

Links

Table of n, a(n) for n=1..13.

Example

For n=4 there is only (4-1)!-a(4) = 1 circular permutation with a consecutive triple i,i+d,i+2d. It is (0,1,2,3).

Crossrefs

Cf. A078628, A174074, A174080, A174081, A174083.

Sequence in context: A009305 A097574 A113023 * A188329 A165962 A127756

Adjacent sequences: A174079 A174080 A174081 * A174083 A174084 A174085

Keyword

nonn,more

Author

Isaac Lambert, Mar 15 2010

Extensions

a(1)-a(3) and a(10)-a(13) from Pontus von Brömssen, Feb 11 2024

Status

approved