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A289620 Triangle read by rows: T(n,r), 0 <= r <= n, is the number of idempotents of rank r in the twisted planar partition monoid PP_n^tau. 3

%I #16 Oct 22 2017 23:32:16

%S 1,0,1,0,5,1,0,33,10,1,0,253,93,15,1,0,2147,880,178,20,1,0,19593,8599,

%T 1982,288,25,1,0,188837,86762,21723,3684,423,30,1,0,1899107,900997,

%U 238419,44767,6111,583,35,1,0,19761209,9595264,2638114,531656,81606,9388,768,40,1,0,211447863,104447385,29503900,6255952,1044248,136740,13640,978,45,1

%N Triangle read by rows: T(n,r), 0 <= r <= n, is the number of idempotents of rank r in the twisted planar partition monoid PP_n^tau.

%C Values were computed using the Semigroups package for GAP.

%H Igor Dolinka, James East, Athanasios Evangelou, Desmond FitzGerald, Nicholas Ham, James Hyde, Nicholas Loughlin, <a href="https://arxiv.org/abs/1507.04838">Idempotent Statistics of the Motzkin and Jones Monoids</a>, arXiv:1507.04838 [math.CO], 2015-2016.

%Y Cf. A281441, A281442, A286867 (row sums).

%K nonn,tabl

%O 0,5

%A _James East_, Oct 05 2017

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Last modified May 9 04:02 EDT 2024. Contains 372341 sequences. (Running on oeis4.)