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math.CO2021
Cycles of even-odd drop permutations and continued fractions of Genocchi numbers
Qiongqiong Pan, Jiang Zeng
Recently, Lazar and Wachs (arXiv:1910.07651) showed that the (median) Genocchi numbers play a fundamental role in the study of the homogenized Linial arrangement and obtained two n…
math.CO2021
Equidistributions around special kinds of descents and excedances
Bin Han, Jianxi Mao, Jiang Zeng
We consider a sequence of four variable polynomials by refining Stieltjes' continued fraction for Eulerian polynomials. Using combinatorial theory of Jacobi-type continued fraction…