On intercalated Fibonacci sequences

被引：1

作者：

Atanassov, Krassimir T. ^{[1
]}

Shannon, Anthony G. ^{[2
]}

机构：

[1] Bulgarian Acad Sci, Dept Bioinformat & Math Modelling, IBPhBME, Acad G Bonchev Str,Bl 105, Sofia 1113, Bulgaria

[2] Univ New South Wales, Warrane Coll, 356 Anzac Parade, Kensington, NSW 2033, Australia

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2020年 / 26卷 / 03期

关键词：

Fibonacci-type sequences; Recurrence relations; Induction; Horadam sequences; DIRECTION;

D O I：

10.7546/nntdm.2020.26.3.218-223

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct three intercalated sequences and develop their essential properties which are generalizations of the three basic Fibonacci sequences. They are extensions of pulsated sequences described at previous Fibonacci conferences. We relate these sequences to the sequence {y(n)} (n >= 0) = {0, 1, 4, 15, 56,.}.

引用

页码：218 / 223

页数：6

共 50 条

[31] On periodic ∞-generalized Fibonacci sequences
Bernoussi, B
Motta, W
Rachidi, M
Saeki, O
FIBONACCI QUARTERLY, 2004, 42 (04): : 361 - 367
[32] RATIOS OF GENERALIZED FIBONACCI SEQUENCES
DENCE, TP
OHIO JOURNAL OF SCIENCE, 1985, 85 (02) : 66 - 66
[33] CONVERGENT GENERALIZED FIBONACCI SEQUENCES
GERDES, W
FIBONACCI QUARTERLY, 1977, 15 (02): : 156 - 160
[34] An application of Fibonacci sequences in groups
Dikici, R
Özkan, E
APPLIED MATHEMATICS AND COMPUTATION, 2003, 136 (2-3) : 323 - 331
[35] On Fibonacci-Like Sequences
Vinh, Le Anh
JOURNAL OF INTEGER SEQUENCES, 2007, 10 (10)
[36] ACCELERATIONS OF GENERALIZED FIBONACCI SEQUENCES
Abrate, Marco
Barbero, Stefano
Cerruti, Umberto
Murru, Nadir
FIBONACCI QUARTERLY, 2011, 49 (03): : 255 - 266
[37] Generalized Fibonacci sequences in groupoids
Kim, Hee Sik
Neggers, J.
So, Keum Sook
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[38] ARITHMETIC SEQUENCES AND FIBONACCI QUADRATICS
MAHANTHAPPA, MK
FIBONACCI QUARTERLY, 1991, 29 (04): : 343 - 346
[39] A note on generalized Fibonacci sequences
Yayenie, Omer
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5603 - 5611
[40] RATIOS OF GENERALIZED FIBONACCI SEQUENCES
DENCE, TP
FIBONACCI QUARTERLY, 1987, 25 (02): : 137 - 143

← 1 2 3 4 5 →