Counting permutations by simsun successions

Yen Chi Roger Lin*, Shi Mei Ma, Yeong Nan Yeh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, we introduce the definitions of simsun succession statistics and simsun patterns. In addition to its original definition by Brenti, we give two more combinatorial interpretations of the q-Eulerian polynomials using simsun successions. We also present a bijection between permutations avoiding the simsun pattern 132 and set partitions.

Original languageEnglish
Pages (from-to)515-527
Number of pages13
JournalTaiwanese Journal of Mathematics
Issue number3
Publication statusPublished - 2019 Jun


  • Set partitions
  • Simsun patterns
  • Simsun permutations
  • Successions

ASJC Scopus subject areas

  • General Mathematics


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