OFFSET
0,4
COMMENTS
Circular permutations are permutations whose indices are from the ring of integers modulo n.
REFERENCES
Wayne M. Dymacek, Isaac Lambert and Kyle Parsons, Arithmetic Progressions in Permutations, http://math.ku.edu/~ilambert/CN.pdf, 2012.
LINKS
Max Alekseyev, Table of n, a(n) for n = 0..100
Kyle Parsons, Arithmetic Progressions in Permutations, thesis, 2011. See Table 3, p. 9.
EXAMPLE
Since a(5)=22, there are (5-1)!-22=2 circular permutations with consecutive triples i,i+2,i+4 in all circular permutations of length 5. They are exactly (0,2,4,1,3) and (0,2,4,3,1).
CROSSREFS
KEYWORD
nonn
AUTHOR
Isaac Lambert, Mar 06 2010
EXTENSIONS
a(10)-a(15) from Donovan Johnson, Sep 24 2010
a(0)-a(2) prepended and terms a(16) onward added by Max Alekseyev, Feb 04 2024
STATUS
approved