SOME PROPERTIES OF ORESME NUMBERS AND CONVOLUTIONS WITH VARIOUS SECOND ORDER SEQUENCES

被引：0
|
作者：
Bacon, Michael R. [1 ]
Cook, Charles K. [1 ]
机构：
[1] Univ South Carolina Sumter, Sumter, SC 29150 USA
来源：
FIBONACCI QUARTERLY | 2024年 / 62卷 / 03期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Cauchy convolution for the Oresme numbers and Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, and Jacobsthal-Lucas numbers are investigated. The convolutions leading to various congruences with expressions involving Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, and Jacobsthal-Lucas numbers are studied.
引用
收藏
页码：233 / 240
页数：8
相关论文
共 50 条
  • [1] On Some Gaussian Oresme Numbers
    Halici, Serpil
    Sayin, Elifcan
    MATHEMATICAL METHODS FOR ENGINEERING APPLICATIONS, ICMASE 2023, 2024, 439 : 339 - 348
  • [2] Some sums related to sums of Oresme numbers
    Cook, CK
    APPLICATIONS OF FIBONACCI NUMBERS, VOL 9, 2004, : 87 - 99
  • [3] Second order linear recurring sequences in hypercomplex numbers
    Scheicher, K
    APPLICATIONS OF FIBONACCI NUMBERS, VOL 7, 1998, : 337 - 351
  • [4] On Some Combinatorial Properties of Oresme Hybrationals
    Wloch, Iwona
    Paja, Natalia
    Szynal-Liana, Anetta
    Choi, Junesang
    Dolgy, Dmitry V.
    SYMMETRY-BASEL, 2023, 15 (11):
  • [5] Upper bounds on van der Waerden type numbers for some second order linear recurrence sequences
    Nyul, Gabor
    Rauf, Bettina
    ANNALES MATHEMATICAE ET INFORMATICAE, 2011, 38 : 117 - 122
  • [6] Closure properties of the second-order regular variation under convolutions
    Liu, Qing
    Mao, Tiantian
    Hu, Taizhong
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (01) : 104 - 119
  • [7] WEIGHTED SUMS OF SOME SECOND-ORDER SEQUENCES
    Adegoke, Kunle
    FIBONACCI QUARTERLY, 2018, 56 (03): : 252 - 262
  • [8] On some k-Oresme hybrid numbers including negative indices
    Halici, Serpil
    Sayin, Elifcan
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2025, 74 (01): : 17 - 26
  • [9] SOME PROPERTIES OF BERNOULLI NUMBERS OF HIGHER ORDER
    CARLITZ, L
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (11) : 1044 - 1045
  • [10] SOME CONVERGENCE PROPERTIES OF CONVOLUTIONS
    KELLER, K
    STUDIA MATHEMATICA, 1984, 77 (01) : 87 - 94
12345