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VOLUME INDEX
ABRATE, Marco, Fibonacci Sequences of Quaternions, 46/47(4):356–365.
ARDAL, Hayri (coauthors: David S. Gunderson, Veselin Jungić, Bruce M. Landman, and
Kevin Williamson), Ramsey Results Involving the Fibonacci Numbers, 46/47(1):10–17.
BACHRAOUI, Mohamed El, Relatively Prime Partitions with Two and Three Parts,
46/47(4):341–345.
BENJAMIN, Arthur T. (coauthor: Sean S. Plott), A Combinatorial Approach to
Fibonomial Coefficients, 46/47(1):7–9.
BONNIN-CADOGAN, Jose M. (coauthors: Christopher P. French and Buchan Xue),
Continued Fractions of Roots of Fibonacci-Like Fractions, 46/47(4):298–311.
BOOTH, Robert (coauthor: Hieu D. Nguyen), Bernoulli Polynomials and Pascal’s
Square, 46/47(1):38–47.
BOYADZHIEV, Khristo N., Power Sum Identities with Generalized Stirling Numbers,
46/47(4):326–330.
CHAN, Hei-Chi, Machin-Type Formulas Expressing π in Terms of φ, 46/47(1):32–37.
CRISTEA, Ligia L. (coauthor: Helmut Prodinger), q-Enumeration of Up-Down Words by
Number of Rises, 46/47(2):126–134.
D’AMICO, A. (coauthor: F. Gatta), Sequences {Hn } for Which Hn+1 /Hn Approaches the
Golden Ratio, 46/47(4):346–349.
EDWARDS, Kenneth, A Pascal-Like Triangle Related to the Tribonacci Numbers,
46/47(1):18–25.
FANG, Jin-Hui, On Almost Superperfect Numbers, 46/47(2):111–114.
FRENCH, Christopher P. (coauthors: Jose M. Bonnin-Cadogan and Buchan Xue),
Continued Fractions of Roots of Fibonacci-Like Fractions, 46/47(4):298–311.
GARNIER, N. (coauthor: O. Ramaré), Fibonacci Numbers and Trigonometric Identitites,
46/47(1):56–61.
GATTA, F. (coauthor: A. D’Amico), Sequences {Hn } for Which Hn+1 /Hn Approaches the
Golden Ratio, 46/47(4):346–349.
GERDEMANN, Dale, Combinatorial Proofs of Zeckendorf Family Identities,
46/47(3):249–260.
GICA, Alexandru, Quadratic Residues in Fibonacci Sequences, 46/47(1):68–72.
GOULD, H. W. (coauthor: Jocelyn Quaintance), Partial Fraction Expansions and a
Question of Bruckman, 46/47(3):245–248.
GREENE, John, The Unboundedness of a Family of Difference Equations Over the
Integers, 46/47(2):146–152.
GRIFFITHS, Martin, Symmetric Rational Expressions in the Fibonacci Numbers,
46/47(3):262–267.
NOVEMBER 2008/2009
381
THE FIBONACCI QUARTERLY
GRUNDMAN, H. G., Escalator Number Sequences, 46/47(2):98–102.
GUNDERSON, David S. (coauthors: Hayri Ardal, Veselin Jungić, Bruce M. Landman,
and Kevin Williamson), Ramsey Results Involving the Fibonacci Numbers, 46/47(1):10–17.
HE, Yuan (coauthor: Qunying Liao), Some Congruences Involving Euler Numbers,
46/47(3):225–234.
HILLAR, Christopher J. (coauthor: Troels Windfeldt), Fibonacci Identities and Graph
Colorings, 46/47(3):220–224.
HUGUET, V. Janitzio Mejı́a (coauthor: Florian Luca), Fibonacci-Riesel and
Fibonacci-Sierpiński Numbers, 46/47(3):216–219.
ISMAIL, Mourad E. H., One Parameter Generalizations of the Fibonacci and Lucas
Numbers, 46/47(2):167–180.
JUNGIĆ, Veselin (coauthors: Hayri Ardal, David S. Gunderson, Bruce M. Landman, and
Kevin Williamson), Ramsey Results Involving the Fibonacci Numbers, 46/47(1):10–17.
KAHANE, Charles S., A Note on Ramus’ Identity and Associated Recursion Relations,
46/47(1):48–52.
KEEPERS, Kyle (coauthor: Paul Thomas Young), On Higher Order Lucas-Bernoulli
Numbers, 46/47(1):26–31.
KLAŠKA, Jiřı́, On Tribonacci-Wieferich Primes, 46/47(4):290–297.
KOMATSU, Takao, On Continued Fraction Expansions of Fibonacci and Lucas Dirichlet
Series, 46/47(3):268–278.
KUROWSKI, Scott (coauthor: George Woltman), On the Discovery of the 45th and 46th
Known Mersenne Primes, 46/47(3):194–197.
LANDMAN, Bruce M. (coauthors: Hayri Ardal, David S. Gunderson, and Veselin Jungić,
and Kevin Williamson), Ramsey Results Involving the Fibonacci Numbers, 46/47(1):10–17.
LAOHAKOSOL, Vichian (coauthor: Kantaphon Kuhapatanakul), Reciprocal Sums of
Generalized Second Order Recurrence Sequences, 46/47(4):316–325.
LIAO, Qunying (coauthor: Yuan He), Some Congruences Involving Euler Numbers,
46/47(3):225–234.
LIU, Guodong, An Identity Involving the Lucas Numbers and Stirling Numbers,
46/47(2):136–139.
LUCA, Florian (coauthor: V. Janitzio Mejı́a Huguet), Fibonacci-Riesel and
Fibonacci-Sierpiński Numbers, 46/47(3):216–219.
MAGLI, Pierluigi, Identities Involving Bernoulli Numbers Related to Sums of Powers of
Integers, 46/47(2):140–145.
MAŠULOVIĆ, Dragan, The Number of Finite Homomorphism-Homogeneous
Tournaments with Loops, 46/47(3):241–244.
MELHAM, R. S., Some Conjectures Concerning Sums of Odd Powers of Fibonacci and
Lucas Numbers, 46/47(4):312–315.
MCGUIRE, Trevor, On the Periodicity of Certain Recursive Sequences, 46/47(4):
350–355.
MCKENZIE, Thomas (coauthor: Shannon Overbay), Purely Periodic Second Order
Linear Recurrences, 46/47(2):160–166.
382
VOLUME 46/47, NUMBER 4
VOLUME INDEX
NAKAMURA, Shigeru (coauthor: Hideyuki Ohtsuka), On the Sum of Reciprocal
Fibonacci Numbers, 46/47(2):153–159.
NGUYEN, Hieu D. (coauthor: Robert Booth), Bernoulli Polynomials and Pascal’s
Square, 46/47(1):38–47.
NYBLOM, Michael A., On the Construction of a Family of Almost Power Free
Sequences, 46/47(4):366–368.
OHTSUKA, Hideyuki (coauthor: Shigeru Nakamura), On the Sum of Reciprocal
Fibonacci Numbers, 46/47(2):153–159.
OVERBAY, Shannon (coauthor: Thomas McKenzie), Purely Periodic Second Order
Linear Recurrences, 46/47(2):160–166.
OZEKI, Kiyota, On Melham’s Sum, 46/47(2):107–110.
PLOTT, Sean S. (coauthor: Arthur T. Benjamin), A Combinatorial Approach to
Fibonomial Coefficients, 46/47(1):7–9.
PRODINGER, Helmut (coauthor: Ligia L. Cristea), q-Enumeration of Up-Down Words
by Number of Rises, 46/47(2):126–134.
PRODINGER, Helmut, On a Sum of Melham and its Variants, 46/47(3):207–215.
QUAINTANCE, Jocelyn (coauthor: H. W. Gould), Partial Fraction Expansions and a
Question of Bruckman, 46/47(3):245–248.
RAMARÉ, O. (coauthor: N. Garnier), Fibonacci Numbers and Trigonometric Identities
46/47(1):56–61.
SMITH, Neal O., On An ‘Uncounted’ Fibonacci Identity and Its q-Analogue,
46/47(1):73–78.
SOMER, Lawrence, Lucas Pseudoprimes of Special Types, 46/47(3):198–206.
STOCKMEYER, Paul K., A Smooth Tight Upper Bound for the Fibonacci
Representation Function R(N ), 46/47(2):103–106.
STOLL, Thomas, On Hofstadter’s Married Functions, 46/47(1):62–67.
TENGELY, Szabolcs, Finding g-gonal Numbers in Recurrence Sequences,
46/47(3):235–240.
TRIPATHI, Amitabha, On Pythagorean Triples Containing a Fixed Integer,
46/47(4):331–340.
VORNICESCU, Neculae, Disjoint Covering of N By a Homogeneous Linear Recurrence,
46/47(1):79–84.
WILLIAMSON, Kevin (coauthors: Hayri Ardal, David S. Gunderson, Veselin Jungić,
and Bruce M. Landman,), Ramsey Results Involving the Fibonacci Numbers,
46/47(1):10–17.
WINDFELDT, Troels (coauthor: Christopher J. Hillar), Fibonacci Identities and Graph
Colorings, 46/47(3):220–224.
WOLTMAN, George (coauthor: Scott Kurowski), On the Discovery of the 45th and 46th
Known Mersenne Primes, 46/47(3):194–197.
XUE, Buchan (coauthors: Jose M. Bonnin-Cadogan and Christopher P. French),
Continued Fractions of Roots of Fibonacci-Like Fractions, 46/47(4):298–311.
NOVEMBER 2008/2009
383
THE FIBONACCI QUARTERLY
YOUNG, Paul Thomas (coauthor: Kyle Keepers), On Higher Order Lucas-Bernoulli
Numbers, 46/47(1):26–31.
ZARNOWSKI, Roger E., The Congruence Structure of the 3x + 1 Map,
46/47(2):115–125.
ZHAO, Yufei, The Coefficients of a Truncated Fibonacci Power Series, 46/47(1):53–55.
FOURTEENTH INTERNATIONAL CONFERENCE ON
FIBONACCI NUMBERS AND THEIR APPLICATIONS
July 5-July 9, 2010
Instituto de Matemáticas de la UNAM, Morelia, Michoacán, México
MEXICO COMMITTEE
INTERNATIONAL
Florian Luca, Chair
P. Anderson (U.S.A.)
A. Benjamin (U.S.A.)
M. Bicknell-Johnson (U.S.A.)
C. Cooper (U.S.A.)
K. Dilcher (Canada)
H. Harborth (Germany)
C. Kimberling (U.S.A.)
COMMITTEE
R.D. Knott (U.K.)
T. Shannon (Australia)
L. Somer (U.S.A.)
P. Stanica (U.S.A.)
J. Turner (New Zealand)
W. Webb (U.S.A.)
CONFERENCE INFORMATION
Information regarding registration, accommodations, transportation,
and conference program etc. will be announced soon at:
http://faculty.nps.edu/pstanica/F14/fourteenth.html
CALL FOR PAPERS
The purpose of the conference is to bring together people from all branches of mathematics
and science with interests in recurrence sequences, their applications and generalizations,
and other special number sequences. For the conference Proceedings, manuscripts that
include new, unpublished results (or new proofs of known theorems) will be considered. A
manuscript should contain an abstract on a separate page. Please be advised that, if
accepted, the papers will have to abide by the publisher’s format style file available on the
local webpage. For papers not intended for the Proceedings, authors may submit just an
abstract, describing new work, published work or work in progress. The deadline for
submitting papers and abstracts is May 1, 2010. Editors of the Proceedings are:
Pante Stanica
and Florian Luca
Applied Mathematics Department
Instituto de Matemáticas UNAM
Naval Postgraduate School
Campus Morelia, C.P. 58089
Monterey, CA 93943
Morelia, Michoacán
U.S.A.
México
[email protected]
[email protected]
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VOLUME 46/47, NUMBER 4