login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Number of permutations of 1,2,...,2n+1 obtainable via labeled chip-firing.
0

%I #13 Nov 25 2018 08:13:46

%S 1,3,12,54,232

%N Number of permutations of 1,2,...,2n+1 obtainable via labeled chip-firing.

%C It is conjectured that the permutations counted by a(n) have at most n inversions.

%H S. Hopkins, T. McConville, and J. Propp, <a href="https://arxiv.org/abs/1612.06816">Sorting via chip-firing</a>, arXiv: 1612.06816 [math.CO], 2017.

%H S. Hopkins, T. McConville, and J. Propp, <a href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i3p13">Sorting via chip-firing</a>, Electronic Journal of Combinatorics, 24, (2017), #P3.13.

%e For n=1 the a(1)=3 permutations are 123, 132, and 213.

%K nonn,more

%O 0,2

%A _James Propp_, Feb 24 2017