[HTML][HTML] Constructions of Goethals–Seidel Sequences by Using k-Partition

S Shen, X Zhang - Mathematics, 2023 - mdpi.com
In this paper, we are devoted to finding Goethals–Seidel sequences by using k-partition, and
based on the finite Parseval relation, the construction of Goethals–Seidel sequences could …

[HTML][HTML] Several Goethals–Seidel Sequences with Special Structures

S Shen, X Zhang - Mathematics, 2024 - mdpi.com
In this paper, we develop a novel method to construct Goethals–Seidel (GS) sequences with
special structures. In the existing methods, utilizing Turyn sequences is an effective and …

[PDF][PDF] Unification of the generating functions for Sheffer type sequences and their applications

I Kucukoglu - preprint, 2023 - mtjpamjournal.com
In this paper, it is aimed to introduce a unification and generalization of the generating
functions for Sheffer type sequences such as the Peters polynomials, the Boole polynomials …

[HTML][HTML] A class of Sheffer sequences of some complex polynomials and their degenerate types

D Kim - Mathematics, 2019 - mdpi.com
We study some properties of Sheffer sequences for some special polynomials with complex
Changhee and Daehee polynomials introducing their complex versions of the polynomials …

On generalized p-Mersenne numbers

Y Soykan - Earthline Journal of Mathematical Sciences, 2022 - earthlinepublishers.com
In this paper, we introduce the generalized p-Mersenne sequence and deal with, in detail,
two special cases, namely, p-Mersenne and p-Mersenne-Lucas-sequences. We present …

On the Smarandache back concatenated odd sequences

L Junzhuang, W Nianliang - ZHANG WENPENG, 2005 - books.google.com
On the Smarandache back concatenated odd sequences Page 72 ON THE SMARANDACHE
BACK CONCATENATED ODD SEQUENCES* Li Junzhuang and Wang Nianliang Institute of …

On a generalization of the Narayana triangle

P Barry - Journal of Integer Sequences, 2011 - repository.wit.ie
By studying various ways of describing the Narayana triangle, we provide a number of
generalizations of this triangle and study some of their properties. In some cases, the …

On the associated sequences of special polynomials

DS Kim, T Kim, SH Rim - arXiv preprint arXiv:1301.6222, 2013 - arxiv.org
arXiv:1301.6222v1 [math.NT] 26 Jan 2013 Page 1 arXiv:1301.6222v1 [math.NT] 26 Jan 2013
ON THE ASSOCIATED SEQUENCES OF SPECIAL POLYNOMIALS DS KIM, T. KIM, AND S.-H …

Complex Golay sequences: structure and applications

R Craigen, W Holzmann, H Kharaghani - Discrete mathematics, 2002 - Elsevier
Complex Golay sequences were introduced in 1992 to generalize constructions for
Hadamard matrices using Golay sequences.(In the last section of this paper we describe …

A polynomial generalization of some associated sequences related to set partitions

T Mansour, M Shattuck - Periodica Mathematica Hungarica, 2017 - Springer
In this paper, we consider a common polynomial generalization, denoted by w_m (n, k)=
w_m^ a, b, c, d (n, k) wm (n, k)= wma, b, c, d (n, k), of several types of associated sequences …