Results 61 to 70 of about 267 (124)

Some results on one type of graph family with some special number sequences

AKCE International Journal of Graphs and Combinatorics, 2020
In this study, we introduce a new graph family. Then, we calculate eigenvalues of the adjacency and the Laplacian matrix of this graph family. Moreover, we show that the perfect matching number of this graph family equals to special second order ...
Emrullah Kirklar, A. Dilek Maden, Fatih Yilmaz   +2 more
doaj   +1 more source

THE EXACT SOLUTIONS OF SOME DIFFERENCE EQUATIONS ASSOCIATED WITH ADJUSTED JACOBSTHAL-PADOVAN NUMBERS

, 2022
Melih Göcen
openalex   +2 more sources

Fermatian row and column sums as a family of generalized integers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce some feature of the Fermatian numbers. The finite sum formulas of these numbers is calculate. The exponential generating function of Fermatian numbers is found and some of its identities is calculated.
Anthony G. Shannon, Mine Uysal, Engin Özkan   +2 more
doaj   +1 more source

A Theorem of Ljunggren and Jacobsthal on Bernoulli Numbers [PDF]

, 1954
L. Carlitz
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Determinants and Inverses of Circulant Matrices with Jacobsthal and Jacobsthal-Lucas Numbers [PDF]

, 2012
Durmuş Bozkurt, Tin-Yau Tam
openalex   +1 more source

New Combinatorial Interpretations of the Fibonacci Numbers Squared, Golden Rectangle Numbers, and Jacobsthal Numbers Using Two Types of Tile [PDF]

, 2020
Kenneth Edwards, Michael A. Allen
openalex   +1 more source

On (k1A1, k2A2, k3A3)-Edge Colourings in Graphs and Generalized Jacobsthal Numbers

Annales Mathematicae Silesianae
In this paper we introduce a new kind of generalized Jacobsthal numbers in a distance sense. We give the identities and matrix representations for them and their connections with the Fibonacci and the Pell numbers. We also describe the interpretations of
Piejko Krzysztof, Trojnar-Spelina Lucyna
doaj   +1 more source

Distance between consecutive elements of the multiplicative group of integers modulo n [PDF]

Notes on Number Theory and Discrete Mathematics
For a prime number p, we consider its primorial P:=p# and U(P):=(ℤ/Pℤ)^× the set of elements of the multiplicative group of integers modulo P which we represent as points anticlockwise on a circle of perimeter P.
Steven Brown
doaj   +1 more source

Intersections of Pell, Pell-Lucas Numbers and Sums of Two Jacobsthal Numbers

, 2023
Ahmed Gaber
openalex   +1 more source

Relations Established Between Hypergeometric Functions and Some Special Number Sequences

Axioms
In this paper, we establish new hypergeometric representations for two classical integer sequences, namely the Pell and Jacobsthal sequences. Motivated by Dilcher’s hypergeometric formulations of the Fibonacci sequence, we extend this framework to other ...
Sukran Uygun, Berna Aksu, Hulya Aytar
doaj   +1 more source