Fibonacci Quarterly
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Volume 19 Number 1 February 1981

CONTENTS

Cover Page

John Gill & Gary Miller
Newton's Method and Ratios of Fibonacci Numbers
1
     Full text

M. J. DeLeon
A Characterization of the Fundamental Solutions to Pell's Equation u2 - Dv2 = C
4
     Full text [Part 1] [Part 2]

Daniel Minoli
Structural Issues for Hyperperfect Numbers
6
     Full text

Robert P. Backstrom
On Reciprocal Series Related to Fibonacci Numbers with Subscripts in Arithmetic Progression
14
     Full text

Masao Kishore
On the Equation σ(m)σ(n) = (m + n)2
21
     Full text

Leonard E. Fuller
A Special mth-Order Recurrence Relation
24
     Full text

D. W. Bange, A. E. Barkauskas, & P. J. Slater
Fibonacci Numbers in Tree Counts for Maximal Outerplane and Related Graphs
28
     Full text

Duane W. DeTemple
A New Angle on the Geometry of the Fibonacci Numbers
35
     Full text

J. C. Lagarias & D. P. Weisser
Fibonacci and Lucas Cubes
39
     Full text

Michael J. Magazine
The Number of States in a Class of Serial Queueing Systems
43
     Full text

G. D. Prichett, A. L. Ludington, & J. F. Lapenta
The Determination of All Decadic Kaprekar Constants
45
     Full text

C. T. Long
The Decimal Expansion of 1/89 and Related Results
53
     Full text

Furio Alberti
A Root Property of a Psi-Type Equation
56
     Full text

Dennis C. Smolarski & Leonard F. Klosinski
Recognition Algorithms for Fibonacci Numbers
57
     Full text

Robert S. Garfinkel & Stanley M. Selkow
On Some Conjectures of Gould on the Parities of the Binomial Coefficients
61
     Full text

Leonard E. Fuller
Solutions for General Recurrence Relations
64
     Full text

M. E. Cohen & H. S. Sun
On Generating Functions and Double Series Expansions
69
     Full text

James V. Peters
An Equivalent Form of Benford's Law
74
     Full text

J. Arkin & K. Singh
A New Type Magic Latin 3-Cube of Order Ten
76
     Full text

C. J. Harman
Complex Fibonacci Numbers
82
     Full text

Edited by A. P. Hillman
Elementary Problems and Solutions
87
     Full text

Edited by Raymond E. Whitney
Advanced Problems and Solutions
93
     Full text

Back Cover