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.
1, 0, 1, 0, 5, 1, 0, 33, 10, 1, 0, 253, 93, 15, 1, 0, 2147, 880, 178, 20, 1, 0, 19593, 8599, 1982, 288, 25, 1, 0, 188837, 86762, 21723, 3684, 423, 30, 1, 0, 1899107, 900997, 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
Offset: 0
Links
- Igor Dolinka, James East, Athanasios Evangelou, Desmond FitzGerald, Nicholas Ham, James Hyde, Nicholas Loughlin, Idempotent Statistics of the Motzkin and Jones Monoids, arXiv:1507.04838 [math.CO], 2015-2016.
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