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A174075 Number of circular permutations of length n without modular consecutive triples i,i+2,i+4. 4
18, 93, 600, 4320, 35186 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,1

COMMENTS

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

LINKS

Table of n, a(n) for n=5..9.

EXAMPLE

Since a(5)=18, there are (5-1)!-18=4 circular permutations with modular consecutive triples i,i+2,i+4 in all circular permutations of length 5. These are exactly (0,2,4,1,3), (0,2,4,3,1), (0,4,2,1,3), and (0,3,2,4,1). Note some have more than one modular progression.

CROSSREFS

Cf. A165962, A174072, A174073, A174074.

Sequence in context: A117735 A041624 A227812 * A186122 A275253 A034725

Adjacent sequences:  A174072 A174073 A174074 * A174076 A174077 A174078

KEYWORD

nonn

AUTHOR

Isaac Lambert, Mar 06 2010

STATUS

approved

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Last modified January 16 14:56 EST 2021. Contains 340206 sequences. (Running on oeis4.)