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A186144 Number of elements in the symmetric group S_n whose distance from a fixed element is the group diameter under compositions of (1,2) and (1,2,...,n). 0
1, 1, 3, 3, 2, 1, 2, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

a(n) is the number of elements in the symmetric group S_n that are maximally distant from any fixed element, where distance is taken to be the minimal sequence of operations composed from transposition (1,2) and rotation (1,2,...,n) producing one element from another.  This maximal distance is the diameter of S_n under the stated compositions, given by A039745(n).

LINKS

Table of n, a(n) for n=1..9.

CROSSREFS

Sequence in context: A283987 A286443 A075522 * A090544 A283755 A038766

Adjacent sequences:  A186141 A186142 A186143 * A186145 A186146 A186147

KEYWORD

nonn,more

AUTHOR

Tony Bartoletti, Feb 23 2011

STATUS

approved

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Last modified May 28 21:37 EDT 2020. Contains 334690 sequences. (Running on oeis4.)