Sums of the AB-Generalized Fibonacci Sequence

被引:0
|
作者
Labendia, Mhelmar A. [1 ]
机构
[1] MSU Iligan Inst Technol, Dept Math, Iligan 9200, Philippines
关键词
Fibonacci sequence; generalized Fibonacci sequence; AB-generalized Fibonacci sequence;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this short paper, we introduce the second order linear recurrence relation of the AB-generalized Fibonacci sequence and give the explicit formulas for the sums of the positively and negatively subscripted terms of the AB-generalized Fibonacci sequence by matrix methods. This sum generalizes the one obtained earlier by Kilic in [2].
引用
收藏
页码:119 / 128
页数:10
相关论文
共 50 条
  • [31] APPLICATION OF CHARACTERISTIC OF GENERALIZED FIBONACCI SEQUENCE
    BERGUM, GE
    HOGGATT, VE
    FIBONACCI QUARTERLY, 1977, 15 (03): : 215 - 220
  • [32] RANK OF APPARITION OF A GENERALIZED FIBONACCI SEQUENCE
    WILLIAMS, HC
    FIBONACCI QUARTERLY, 1975, 13 (03): : 240 - 242
  • [33] Some Identities of Generalized Fibonacci Sequence
    Chong, Chin-Yoon
    Cheah, C. L.
    Ho, C. K.
    PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 661 - 665
  • [34] SOME IDENTITIES FOR SEQUENCES OF BINOMIAL SUMS OF GENERALIZED FIBONACCI NUMBERS
    Cook, Charles K.
    Komatsu, Takao
    FIBONACCI QUARTERLY, 2016, 54 (02): : 105 - 111
  • [35] Odd and Even Sums of Generalized Fibonacci Numbers by Matrix Methods
    Ho, C. K.
    Chong, Chin-Yoon
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 : 1026 - 1032
  • [36] Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers
    Kilic, E.
    Omur, N.
    Ulutas, T.
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
  • [37] FORMULAS FOR QUADRATIC SUMS THAT INVOLVE GENERALIZED FIBONACCI AND LUCAS NUMBERS
    Cerin, Zvonko
    RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, 2015, 19 (523): : 1 - 12
  • [38] Some results on generalized Fibonacci and Lucas numbers and Dedekind sums
    Zhao, FZ
    Wang, TM
    FIBONACCI QUARTERLY, 2004, 42 (03): : 250 - 255
  • [39] GCD OF SUMS OF k CONSECUTIVE SQUARES OF GENERALIZED FIBONACCI NUMBERS
    Mbirika, Aba
    Spilker, Juergen
    FIBONACCI QUARTERLY, 2022, 60 (05): : 255 - 269
  • [40] The Research of the Generalized Fibonacci Sequence -based Propagation
    Gu, Aihua
    Xu, Yingying
    INTERNATIONAL CONFERENCE ON APPLIED PHYSICS AND INDUSTRIAL ENGINEERING 2012, PT C, 2012, 24 : 1737 - 1741