A065162 - OEIS

A065162

Least common multiple of all orbit sizes (cycle lengths in corresponding permutations A065181-A065184) into which the Foata transform partitions the symmetric group Sn.

1, 1, 3, 84, 392700, 134303400, 144049802170012200, 20408430429061596071366416200, 44398211066986010729368646573034503961122478555908400, 265062009098171901647881980851886506540968043007100873153849200

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Counted with the Maple procedure FoataPermutationCycleCounts_Lengths_and_LCM given in A065163.

LINKS

Table of n, a(n) for n=1..10.

CROSSREFS

A065161, A065163.

Sequence in context: A116303 A215911 A203510 * A056262 A042587 A156879

Adjacent sequences: A065159 A065160 A065161 * A065163 A065164 A065165

KEYWORD

nonn

AUTHOR

Antti Karttunen, Oct 19 2001

EXTENSIONS

More terms from Sean A. Irvine, Aug 19 2023

STATUS

approved