

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




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



