Hankel continued fractions and Hankel determinants of the Euler numbers

DOI10.1090/tran/8031zbMath1472.11074arXiv1906.00103OpenAlexW2982637133MaRDI QIDQ5113215

Guo-Niu Han

Publication date: 3 June 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.00103

zbMATH Keywords

secant numberstangent numbersHankel determinantEuler numbersHankel continued fractionJacobi continued fractionpeak statistic

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Continued fractions; complex-analytic aspects (30B70) Matrices, determinants in number theory (11C20)

Related Items (9)

On pattern avoidance in matchings and involutions ⋮ Hankel determinants of sequences related to Bernoulli and Euler polynomials ⋮ Cycles of even-odd drop permutations and continued fractions of Genocchi numbers ⋮ On the rational approximation to Thue-Morse rational numbers ⋮ The \(\gamma \)-coefficients of Brändén's \((p,q)\)-Eulerian polynomials and André permutations ⋮ Unnamed Item ⋮ Brändén's \((p,q)\)-Eulerian polynomials, André permutations and continued fractions ⋮ On the Okounkov-Olshanski formula for standard tableaux of skew shapes ⋮ On Hankel determinants for Dyck paths with peaks avoiding multiple classes of heights

Uses Software

• OEIS

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