The Fibonacci Quarterly 2007: Vol 45 Index & Table of Contents

2007·0.48 MB·English

VOLUME INDEX
ANDO, Shiro (coauthors: Calvin Long and William GC. Schulz
BALLOT, Christian (coauthor: Michele Elia), “Rank and Perio«
BENJAMIN, Arthur T
Approach,” 45(1):39-55
BODE, Jens-P. (coauthors: Heiko Harborth and Clark Kimberling
BODROZA-PANTIG, olga (coauthor: Angelina Iié-Kovatevi
Chains,” 45(1):3-9
BOYADZHIEBEYV, khristo N., “Derivative Polynomi
BROCKMAN, Greg (coauthor: Ryan J. Zerr
BROWN, Ron (coauthor: Jonathan L. Merzel
BRUCKMAN, Paul S. (coauthor: Ray S. M
Non-Equidistant Points,” 45(3):208-220
BURNS, Chris (coauthor: Be njamin Purcell), “Counting
45(3):233-238
CAMERON, Naiomi T. (coauthors
Approach,” 45(1):39-55
CARLIP, Walter (coauthor: Martina Mincheva), “Cc mponent
415(3):239-246.
CARSON, T. Richard, “Periodic Recurrence Relations and Continu
CHAN, Hei-Chi, “From Andrews’ Formula for the Fibonacci Number
CHUAN, Wai-Fong (coauthor: Fei Yu), “Three New Extraction Fi
CURTIN, Brian (coauthors: Ena Salter and David Stone Son
DAFNIS, Spiros D. (coauthors: Frosso S. Makri and Andreas
Generalized Pascal Triangles,” 45(4):347-356
ELIA, Michele (coauthor: Christian Ballot), “Rank and Period of Primes in t *ibonacci Sequence Trichotomy,” 45(1):56-63
ELOFF, Daniel (coauthors: Blair K Spearman and Kenneth S. Williams), 1 ield with Infinitely Many Normal Integral
Bases,” 45(2):151-154
EWE LL, John A., “Additive Evaluation of the Divisor Function
EWE LL, John A., “On the Sum-of-Divisors Function,” 45(3):205-2
EVANS, Ronald (coauthor: Jonathan Pearlman), “Nonexistence of Odd I
GIL, Juan B. (coauthors: Michael D. Weiner and Catalin Zara), “Complete Padovan Sequen
GOULD, H. w., (coauthor: Jocelyn Quaintance), “Productso f Numbers Which Obey bona
GRUNDMAN, Helen G., “Consecutive Zeckendorf-Niven and Lazy-Fibonacci-Niven Num
HARBORTH, Heiko (coauthors: Jens-P. Bode and Clark Kimberling), “Con
HENDEL, Russell Jay, “Factorizations of )."t*} F,;_ 5,” 45(2):128-132
baud = b> (<2 JZ
IANNUCCI, Douglas E. (coauthor: Florian Luca), “Catalan Numbers, Factorials, and Sums of Aliquot Parts,” 327-336
ILIC-KOVACEVIC, Angelina (coauthor: Olga BodroZa-Panti¢c), “Algebraic Structure Count of Angular Hexagonal-Square
Chains,” 45(1):3-9
JIA, C. Z. (coauthors: H. M. Liu and T. M. Wang), “G-Analogs of Generalized Fibonacci and Lucas Polynomials,” 45(1):26-34
KIMBERLING, Clark (coauthors: Jens-P. Bode and Heiko Harborth), “Complementary Fibonacci Sequences,” 45(3):254—264
KIMBERLING, Clark, “The Equation m? — 4k = 5n? and Unique Representations of Positive Integers,” 45(4):304-312
LIU, Guodong, “Some Computational Formulas for Nérlund Numbers,” 45(2):133-137
LIU, H. M. (coauthors: C. Z. Jia and T. M Wang), “G-Analogs of Generalized Fibonacci and Lucas Polynomials,” 45(1
LONG, Calvin (coauthors: Shiro Ando and William C. Schulz), “An Extension of the GCD Star of David Theorem,” 45(:
LUCA, Florian (coauthor: Laszlo Szalay), “Fibonacci Numbers of the Form p* + p° + 1,” 45(2):98-103
LUCA, Florian (coauthor: Alian Togbé), “On the Diophantine Equation x? — 72k =y ;
LUCA, Florian (coauthor: Douglas E. lannucci), “Catalan Numbers, Factorials, and Sums of Aliquot Parts,” 45(4):327-336
MA, Rong (coauthor: Wenpeng Zhang), “Several Identities Involving the Fibonacci Numbers and Lucas Numbers,” 45(2):164-170
MAKRI, Frosso S. (coauthors: Spiros D. Dafnis and Andreas N. Philippou), “Restricted Occupancy of S Kinds of Cells and
Generalized Pascal Triangles,” 45(4):347-356
MELHAM, Ray (coauthor: Paul S. Bruckman), “Some Theorems Involving Powers of Generalized Fiboncci Numbers at Non-
Equidistant Points,” 45(3):208-220.
2007]
THE FIBONACCI QUARTERLY
MERZEL, Jonathan L. (coauthor: Ron Brown), “The Number of Ducci Sequences with Given Period,” 45(2):115-121.
MINCHEVA, Martina (coauthor: Walter Carlip), “Component Growth of Iteration Graphs Under the Squaring Map Modulo
p*” 45(3):239-246.
MUNAGI, Augustine O., “Combinations with Successions and Fibonacci Numbers,” 45(2):104—-114.
NEAL, David K., “Fibonacci Fractions From Heron’s Square Root Approximation of the Golden Ratio,” 45(1):35-38.
OSLER, Thomas J., “Vieta-Like Products of Nested Radicals with Fibonacci and Lucas Numbers,” 45(3):202-204.
PAN, Hao (coauthor: Ming Wu), “Sums of Products of Bernoulli Numbers of the Second Kind,” 45(2):146-150.
PANDA, G. k., “Sequence Balancing and Cobalancing Numbers,” 45(3):265-271.
PEARLMAN, Jonathan (coauthor: Ronald Evans), “Nonexistence of Odd Perfect Numbers of a Certain Form,” 45(2):122-127.
PHILIPPOU, Andreas N. (coauthors: Spiros D. Dafnis and Frosso S. Makri), “Restricted Occupancy of S$ Kinds of Cells and
Generalized Pascal Triangles,” 45(4):347-356.
PHILLIPS, George M., “Index-Doubling in Sequences by Aitken Acceleration,” 45(4):313-318.
PHILLIPS, George M., “Report on the Twelfth International Conference,” 45(4):366-367.
PURCELL, Benjamin (coauthor: Chris Burns), “Counting the Number of Winning Binary Strings in the 1-Dimensional Same
Game,” 45(3):233-238.
QUAINTANCE, Jocelyn, (coauthor: H. W. Gould), “Products of Numbers Which Obey a Fibonacci-Type Recurrence,”
45(4):337-346.
QUINN, Jennifer J. (coauthors: Arthur T. Benjamin and Naiomi T. Cameron), “Fibonacci Determinants - A Combinatorial Ap-
proach,” 45(1):39-55.
ROBBINS, Neville, “A Recursive Formula for Sums of Squares,” 45(3):230-232.
SALTER, Ena (coauthors: Brian Curtin and David Stone), “Some Formulae for the Fibonacci Numbers,” 45(2):171-180.
SAZLAY, Laszlo (coauthor: Florian Luca), “Fibonacci Numbers of the Form i" ae p° +1,” 45(2):98—103.
SCHULZ, William C. (coauthors: Calvin Long and William C. Schulz), “An Extension of the GCD Star of David Theorem,”
45(3):194-201.
SOMER, Lawrence, “Special Multipliers of kth-Order Linear Recurrences Modulo 5s 45(1):10-21.
SPEARMAN, Blair K. (coauthors: Daniel Eloff and Kenneth S. Williams), “A Number Field with Infinitely Many Normal Integral
Bases,” 45(2):151-154.
STEVENS, Gary E., “The Bishcp’s Tale: A Combinatorial Proof of F2 = Fe. + n2— 2 ) - F2r _,. 45(4): 319-321.
STONE, David (coauthors: Brian Curtin and Ena Salter), “Some Formulae for the Fibonacci Numbers,” 45(2):171-180.
TOGBE, Alain (coauthor: Florian Luca), “On the Diophantine Equation x? + 7k = oe 45(4): 322-326.
WAGNER, Stephan G., “The Fibonacci Number of Fibonacci Trees and a Related Family of Polynomial Recurrence Systems,”
45(3):247-253.
WANG, T. M. (coauthors: C. Z. Jia and H. M. Liu), “G-Analogs of Generalized Fibonacci and Lucas Polynomials,” 45(1):26-34.
WEINER, Michael D. (coauthors: Juan B. Gil and Catalin Zara), “Complete Padovan Sequences in Finite Fields,” 45(1):64—-75.
WILLIAMS, kenneth S. (coauthors: Daniel Eloff and Blair K. Spearman), “A Number Field with Infinitely Many Normal Integral
Bases,” 45(2):151-154.
WOOD, Philip Matchett, “Bijective Proofs for Fibonacci Identities Related to Zeckendorf’s Theorem,” 45(2):138-145.
WU, Ming (coauthor: Hao Pan), “Sums of Products of Bernoulli Numbers of the Second Kind,” 45(2):146—150.
YABUTA, Minoru, “The ABC-Conjecture and the Powerful Numbers in Lucas Sequences,” 45(4):362-365.
YU, Fei (coauthor: Wai-Fong Chuan), “Three New Extraction Formulae,” 45(1):76-84.
ZARA, Catalin (coauthors: Juan B. Gil and Michael D. Weiner), “Complete Padovan Sequences in Finite Fields,” 45(1):64-75.
ZERR, Ryan J. (coauthor: Greg Brockman), “Asymptotic Behavior of Certain Ducci Sequences,” 45(2):155-163.
ZHANG, Wenpeng (coauthor: Rong Ma), “Several Identities Involving the Fibonacci Numbers and Lucas Numbers,” 45(2):164-170.
[NOVEMBER
y