On some identities for balancing and cobalancing numbers

被引：0

作者：

Catarino, Paula ^{[1
]}

Campos, Helena ^{[1
]}

Vasco, Paulo ^{[1
]}

机构：

[1] Univ Tras Os Montes & Alto Douro, UTAD, P-5000801 Vila Real, Portugal

来源：

ANNALES MATHEMATICAE ET INFORMATICAE | 2015年 / 45卷

关键词：

Balancing number; cobalancing number; Binet's formula; generating function;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As a consequence of the Binet formula for balancing, cobalancing, square triangular, Lucas-balancing and Lucas-cobalancing numbers, we provide some formulas for these sequences explicitly, which can have certain importance or applications in most recently investigations in this area. Also we give another expression for the general term of each sequence, using the ordinary generating function.

引用

页码：11 / 24

页数：14

共 24 条

[1]

Behera A, 1999, FIBONACCI QUART, V37, P98

[2]

Berczes A, 2010, FIBONACCI QUART, V48, P121

[3]

Horadam A. F., 1965, FIBONACCI QUART, V3, P161

[4] GENERATING FUNCTIONS FOR POWERS OF A CERTAIN GENERALISED SEQUENCE OF NUMBERS [J].

HORADAM, AF .

DUKE MATHEMATICAL JOURNAL, 1965, 32 (03) :437-&

[5]

Keskin R, 2012, J INTEGER SEQ, V15

[6]

LEVESQUE C, 1985, FIBONACCI QUART, V23, P290

[7]

Liptai K, 2004, FIBONACCI QUART, V42, P330

[8]

LIPTAI K, 2006, ACTA MATH U OSTRAV, V14, P43

[9] Generalized balancing numbers [J].

Liptai, Kalman ;

Luca, Florian ;

Pinter, Akos ;

Szalay, Laszlo .

INDAGATIONES MATHEMATICAE-NEW SERIES, 2009, 20 (01) :87-100

[10]

Olajos P, 2010, ANN MATH INFORM, V37, P125

← 1 2 3 →