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Sep 6, 2023 at 16:40 comment added Tom Copeland A reduction of $[LN]$ with $u_k=t$ is essentially A132813, reverse A103371. This reduction can be found in “Counting partitions by genus: a compendium of results” by Robert Coquereaux and, Jean-Bernard Zuber (arxiv.org/abs/2305.01100, June 23, 2023). See pg 16 and Table 1 on pg. 17. See also my blog post "Log Narayana polynomials and the raising ops for the noncrossing and special Schur partition polynomials" (tcjpn.wordpress.com/2023/04/02/…).
Jun 27, 2023 at 13:30 comment added Tom Copeland A closely related MO_Q question is "Log associahedra and log noncrossing partitions--raising ops and symmetric function theory for $A_n$" (mathoverflow.net/questions/443841/…) .
Jun 9, 2023 at 1:50 history edited Tom Copeland CC BY-SA 4.0
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Jun 9, 2023 at 1:42 history asked Tom Copeland CC BY-SA 4.0