Cover Image

Connections between two classes of generalized Fibonacci numbers squared and permanents of (0,1) Toeplitz matrices

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Allen, Michael A., Edwards, Kenneth
Format:	Preprint
Published:	2021
Subjects:	Combinatorics Primary 05A19, Secondary 05A05, 11B37, 11B39
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Identities involving the tribonacci numbers squared via tiling with combs
by: Allen, Michael A., et al.
Published: (2022)

Identically vanishing $k$-generalized Fibonacci polynomials
by: Mane, S. R.
Published: (2025)

The Fibonacci-Fubini and Lucas-Fubini numbers
by: Djemmada, Yahia, et al.
Published: (2024)

On a Family of Nested Recurrences and Their Arithmetical Solutions
by: Cloitre, Benoit
Published: (2025)

Connections Between Combinations Without Specified Separations and Strongly Restricted Permutations, Compositions, and Bit Strings
by: Allen, Michael A.
Published: (2024)

A new combinatorial interpretation of partial sums of $m$-step Fibonacci numbers
by: Bates, Erik, et al.
Published: (2025)

Generating Trees and Fibonacci Polyominoes
by: Pulido, Juan F., et al.
Published: (2024)

Refining Blecher and Knopfmacher's Integer Partition Fixed Points
by: Hopkins, Brian
Published: (2023)

A short proof of Mathar's 2020 recurrence conjecture for the generalized-Stirling sequence A001711
by: Niu, Tong
Published: (2026)

General convolution sums involving Fibonacci m-step numbers
by: Frontczak, Robert, et al.
Published: (2024)

A semigroup approach to iterated binomial transforms
by: Verwee, Johann
Published: (2026)

New Binomial Identities for Fibonacci, Lucas, and Generalized Fibonacci Sequences with Multiple Indices
by: Vorobtsov, Nick
Published: (2026)

Some power series extensions of Fibonacci and Lucas polynomials
by: Cigler, Johann
Published: (2025)

On the divisibility of sums of Fibonacci numbers
by: Flynn-Connolly, Oisín
Published: (2025)

A short proof of Mathar's 2021 recurrence conjecture for the Lehmer-Comtet diagonal A045406
by: Niu, Tong
Published: (2026)

Finite $q$-multiple harmonic sums on $1-\cdots-1,A,1-\cdots-1$ indices
by: Ishikawa, Hideaki, et al.
Published: (2026)

The Weighted Tower of Hanoi: Algebraic Structure, Phase Transitions, and Integer Sequences
by: Hinz, Andreas M., et al.
Published: (2026)

A $2$-Regular Sequence That Counts The Divisors of $n^2 + 1$
by: Shakov, Anton
Published: (2025)

Series Associated with Harmonic Numbers, Fibonacci Numbers and Central Binomial Coefficients $\binom{2n}{n}$
by: Segun, Akerele Olofin
Published: (2024)

Three short proofs of Mathar's 2014 conjecture for OEIS A002627
by: Niu, Tong
Published: (2026)

A mirror deformation of Markov numbers
by: Bittmann, Léa, et al.
Published: (2026)

Explicit formulae for generalized Stirling and Eulerian numbers
by: Küstner, Josef
Published: (2024)

(a,b)-Fibonacci-Legendre Cordial Graphs and k-Pisano-Legendre Primes
by: Andoyo, J. D.
Published: (2026)

Solutions for $k$-generalized Fibonacci numbers using Fuss-Catalan numbers
by: Mane, S. R.
Published: (2024)

Some properties of Padovan matrices and bi-periodic Padovan matrices
by: Savin, Diana
Published: (2026)

Simplicial $d$-Polytopic Numbers Defined on Generalized Fibonacci Polynomials
by: López, Ronald Orozco
Published: (2025)

New sums mixing harmonic numbers and central binomial coefficients
by: Bataille, Micheal, et al.
Published: (2026)

On series identities involving $\binom{4k}k$ and harmonic numbers
by: Jiang, Bo, et al.
Published: (2026)

Pseudo-involutions in the Riordan group and Chebyshev polynomials
by: Burstein, Alexander, et al.
Published: (2025)

Analytic aspects of $q,r$-analogue of poly-Stirling numbers of both kinds
by: Komatsu, Takao, et al.
Published: (2022)

Analytical properties of $q$-metallic numbers
by: Pedon, Emmanuel
Published: (2026)

Linear Recurrences from Counting Schreier-Type Multisets
by: Chu, Hung Viet, et al.
Published: (2025)

Luck and magic for Pitman-Stanley polytopes and parking functions
by: Avila, Nicolas, et al.
Published: (2026)

Moments for generalizations of a coin flip game
by: Huang, Jia
Published: (2026)

The Density of Zero and One in Fibonacci Word for Subwords and Their Palindromes
by: Abdullah, Duaa, et al.
Published: (2025)

A short proof of Mathar's 2016 recurrence conjecture for OEIS A176677
by: Niu, Tong
Published: (2026)

Generalized Logistic Maps and Convergence
by: Finch, Steven
Published: (2024)

Combinatorics of positional colored compositions
by: Li, Andrew, et al.
Published: (2025)

Généralisation du Théorème de Zeckendorf
by: Chergui, Rachid
Published: (2024)

A Universal Identity for Powers in Quadratic Algebras and a Matrix Derivation of a Fibonacci Identity
by: Mantovanelli, Marco
Published: (2026)