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Combinatorial interpretations of the Jacobi-Stirling numbers
The Jacobi-Stirling numbers of the first and second kinds were introduced in 2006 in the spectral theory and are polynomial refinements of the Legendre-Stirling numbers.
Gelineau, Yoann, Zeng, Jiang
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Finite automata, probabilistic method, and occurrence enumeration of a pattern in words and permutations. [PDF]
Mansour T, Rastegar R, Roitershtein A.
europepmc +1 more source
Blocks in cycles and k-commuting permutations. [PDF]
Moreno R, Rivera LM.
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A combinatorial proof of a result for permutation pairs
Mansour Toufik, Shattuck Mark
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Parity-alternating permutations and successions
Munagi Augustine
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New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences
Experimental Mathematics, 2023Ofir Gorodetsky
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On 0012-avoiding inversion sequences and a conjecture of Lin and Ma
Quaestiones Mathematicae, 2023Shane Chern
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The J.C.P. miller recurrence for exponentiating a polynomial, and its q- analog
Journal of Difference Equations and Applications, 1995Doron Zeilberger
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