A note on Vietoris' number sequence

DOI10.1007/s00009-021-01952-wzbMath1496.11039OpenAlexW4210356190MaRDI QIDQ2071301

Paula Maria Machado Cruz Catarino, R. De Almeida

Publication date: 27 January 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01952-w

zbMATH Keywords

recurrence relationtridiagonal matrixCatalan number sequenceVietoris' number sequence

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Recurrences (11B37) Special sequences and polynomials (11B83)

Uses Software

• OEIS

Cites Work

• Binomial coefficients, Catalan numbers and Lucas quotients
• A new public-key cryptosystem via Mersenne numbers
• Stable functions and Vietoris' theorem
• Matrix representations of a special polynomial sequence in arbitrary dimension
• On the hardness of the Mersenne Low Hamming Ratio assumption
• On generalized Vietoris' number sequences
• Hypercomplex polynomials, Vietoris' rational numbers and a related integer numbers sequence
• Integral representations of the Catalan numbers and their applications
• Fibonacci and Lucas Numbers With Applications
• Fibonacci Determinants
• An integral representation, complete monotonicity, and inequalities of the Catalan numbers
• On the generating matrices of the Κ-Fibonacci numbers
• Some Positive Trigonometric Sums
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