Some Binomial Fibonacci Identities

Long, Calvin T.

doi:10.1007/978-94-009-1910-5_28

Cited by 12 publications

(7 citation statements)

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“…The new method presented in this paper provides some illumination on some observations noted by researchers (for example Long [15], Dresel [3] and Melham [17]).…”

Section: Introductionmentioning

confidence: 78%

A post-occupancy evaluation of students' halls of residence in Obafemi Awolowo University, Ile-Ife, Nigeria

Adegoke

Ajayi

Oladokun

et al. 2020

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PurposeStudents are the hub of activities in an academic environment, and their satisfaction with the performance of educational facilities cannot be overemphasised. Therefore, this study evaluated the post-occupation of students' halls of residence in Obafemi Awolowo University (OAU), Ile-Ife, Nigeria with a view to enhancing effective management of educational facilities.Design/methodology/approachData were collected from 245 students who were selected using simple random sampling technique. The study adopted descriptive statistical tools such as mean, standard deviation and Relative Importance Index (RII); the inferential statistical tools adopted were independent-samples t-test and Kendall Tau's correlation.FindingsThe results revealed that both genders were fairly satisfied with physical attributes, indoor environmental quality (IEQ) and social factors; while the female students were also fairly satisfied with the supporting service, the male students were fairly dissatisfied. Also, supporting services and IEQ influenced the levels of satisfaction of both genders.Practical implicationsThis study provides information which can help the management of the University and other comparative educational institutions in the proper management of students' halls of residence.Originality/valueThis study has provided insight into the satisfaction of student occupants with halls of residence based on gender differentiation.

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“…The new method presented in this paper provides some illumination on some observations noted by researchers (for example Long [15], Dresel [3] and Melham [17]).…”

Section: Introductionmentioning

confidence: 78%

A post-occupancy evaluation of students' halls of residence in Obafemi Awolowo University, Ile-Ife, Nigeria

Adegoke

Ajayi

Oladokun

et al. 2020

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“…Of course, these numbers can also be defined recursively since the identities W 0 = a, W 1 = b, W n = p W n−1 + W n−2 and X 0 = 2 b − a p, X 1 = 2 a+ b p, X n = p X n−1 + X n−2 are true for all integers n. Moreover, W n and X n generalize U n and V n , respectively, which in turn generalize F n and L n (Fibonacci and Lucas numbers), respectively. Aspects of W n and X n have been treated, for example, in [1], [13], and [21], and more recently in [15].…”

Section: Introductionmentioning

confidence: 99%

Formulas for Linear Sums That Involve Generalized Fibonacci and Lucas Numbers

Čerin¹

2015

SJM

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We extend Melham's formulas in [16] for certain classes of finite sums that involve generalized Fibonacci and Lucas numbers. We study the linear sums where only single terms of these numbers appear. Our results show that most of his formulas are the initial terms of a series of formulas, that the analogous and somewhat simpler identities hold for associated dual numbers and that besides the alternation according to the numbers (−1) n(n+1) 2 it is possible to get similar formulas for the alternation according to the numbers (−1) n(n−1) 2. We also consider sixteen linear sums with binomial coefficients that are products.

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“…(X, X) . Sums involving Fibonacci, Lucas, Pell and Pell-Lucas numbers and generalizations have been studied by several authors, for example, for trigonometric sums see Melham [6,1999] and Belbachir & Bencherif [1,2007], for reciprocal and powers sums see Melham [7,1999] and [8,2000], and for the sum of squares see Long [5,1986], Čerin [2,2005] and Čerin & Gianella [3,2006].…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Sums of products of generalized Fibonacci and Lucas numbers

Belbachir,

Bencherif

2007

Preprint

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Some Binomial Fibonacci Identities

Cited by 12 publications

References 1 publication

A post-occupancy evaluation of students' halls of residence in Obafemi Awolowo University, Ile-Ife, Nigeria

A post-occupancy evaluation of students' halls of residence in Obafemi Awolowo University, Ile-Ife, Nigeria

Formulas for Linear Sums That Involve Generalized Fibonacci and Lucas Numbers

Sums of products of generalized Fibonacci and Lucas numbers

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