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A325956 Number of cyclic permutations of [n] with symmetry order s=1. 0
0, 0, 4, 20, 108, 714, 4992, 40284, 362480, 3628790, 39912648, 479001588, 6226974684, 87178287120, 1307673722880, 20922789887984, 355687417715904, 6402373705727982, 121645100223034480, 2432902008175589664, 51090942167993548700, 1124000727777607679978, 25852016738803204991232 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,3

LINKS

Table of n, a(n) for n=2..24.

Saeed Zakeri, Cyclic Permutations: Degrees and Combinatorial Types, arXiv:1909.03300 [math.DS], 2019. See Table 1 p. 8.

FORMULA

a(n) = (1/n)*Sum_{d|n} moebius(d)*phi(d)*d^(n/d)*(n/d)!) for n>1.

PROG

(PARI) a(n) = sumdiv(n, d, moebius(d)*eulerphi(d)*d^(n/d)*(n/d)!)/n;

CROSSREFS

Sequence in context: A321574 A225621 A020084 * A026127 A222205 A262394

Adjacent sequences:  A325953 A325954 A325955 * A325957 A325958 A325959

KEYWORD

nonn

AUTHOR

Michel Marcus, Sep 10 2019

STATUS

approved

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Last modified July 6 23:56 EDT 2020. Contains 335484 sequences. (Running on oeis4.)