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A289620
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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.
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3
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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
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OFFSET
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0,5
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COMMENTS
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Values were computed using the Semigroups package for GAP.
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LINKS
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Table of n, a(n) for n=0..65.
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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CROSSREFS
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Cf. A281441, A281442, A286867 (row sums).
Sequence in context: A081817 A123260 A019113 * A019107 A019183 A019156
Adjacent sequences: A289617 A289618 A289619 * A289621 A289622 A289623
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KEYWORD
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nonn,tabl
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AUTHOR
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James East, Oct 05 2017
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STATUS
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approved
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