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Number of equivalence classes of S_n under transformations of positionally adjacent elements of the form abc <--> acb <--> bac <--> cba, where a<b<c.
6

%I #28 Oct 20 2017 14:24:41

%S 1,1,2,3,4,5,8,11,20,29,57

%N Number of equivalence classes of S_n under transformations of positionally adjacent elements of the form abc <--> acb <--> bac <--> cba, where a<b<c.

%H Steven Linton, James Propp, Tom Roby, and Julian West, <a href="http://arxiv.org/abs/1111.3920">Equivalence classes of permutations under various relations generated by constrained transpositions, 2011</a> arXiv:1111.3920 [math.CO], <a href="https://cs.uwaterloo.ca/journals/JIS/VOL15/Roby/roby4.html">J. Int. Seq. 15 (2012) #12.9.1</a>

%K nonn

%O 0,3

%A _Tom Roby_, May 08 2012

%E Definition improved by _Tom Roby_, May 15 2012