A174081 Number of permutations of length n with no consecutive triples i,i+d,i+2d (mod n) for all d.

16, 40, 300, 1764, 17056, 118908, 1466840, 14079340, 184672896, 2206738248, 33901722288, 458478528000

Offset: 4

Author

Isaac Lambert, Mar 15 2010

Keywords

• nonn

Examples

			For n=4, there are 4!-a(4)=8 permutations with some consecutive triple i,i+d,i+2d (mod 4). Here only d=1 and d=3 works, and the permutations are (0,1,2,3), (1,2,3,0), (2,3,0,1), (3,0,1,2), (0,3,2,1), (3,2,1,0), (2,1,0,3), and (1,0,3,2)
		

Crossrefs

Cf. A095816, A174073, A174080, A174082, A174083.

Extensions

a(10)-a(15) from Bert Dobbelaere, May 18 2025