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VOLUME INDEX
ANDO, Shiro (coauthors: Calvin Long and William C. Schulz), “An Extension of the GCD Star of David Theorem,” 45(3):194–201.
BALLOT, Christian (coauthor: Michele Elia), “Rank and Period of Primes in the Fibonacci Sequence. A Trichotomy,” 45(1):56–63.
BENJAMIN, Arthur T. (coauthors: Naiomi T. Cameron and Jennifer J. Quinn), “Fibonacci Determinants - A Combinatorial
Approach,” 45(1):39–55.
BODE, Jens-P. (coauthors: Heiko Harborth and Clark Kimberling), “Complementary Fibonacci Sequences,” 45(3):254–264.
BODROZ̆A-PANTIĆ, Olga (coauthor: Angelina Ilić-Kovac̆ević), “Algebraic Structure Count of Angular Hexagonal-Square
Chains,” 45(1):3–9.
BOYADZHIEV, Khristo N., “Derivative Polynomials for tanh, tan, sech and sec in Explicit Form,” 45(4): 291–303.
BROCKMAN, Greg (coauthor: Ryan J. Zerr), “Asymptotic Behavior of Certain Ducci Sequences,” 45(2):155–163.
BROWN, Ron (coauthor: Jonathan L. Merzel), “The Number of Ducci Sequences with Given Period,” 45(2):115–121.
BRUCKMAN, Paul S. (coauthor: Ray S. Melham), “Some Theorems Involving Powers of Generalized Fibonacci Numbers
at
Non-Equidistant Points,” 45(3):208–220.
BURNS, Chris (coauthor:
Benjamin Purcell), “Counting the Number of Winning Binary Strings in the 1-Dimensional Same Game,”
45(3):233–238.
CAMERON,
Naiomi T. (coauthors: Arthur T. Benjamin and Jennifer J. Quinn), “Fibonacci Determinants - A Combinatorial
Approach,” 45(1):39–55.
CARLIP, Walter (coauthor:
Martina Mincheva), “Component Growth of Iteration Graphs Under the Squaring Map Modulo
pk ,”
45(3):239–246.
CARSON, T. Richard, “Periodic Recurrence Relations and Continued Fractions,” 45(4):357–361.
CHAN, Hei-Chi, “From Andrews’ Formula for the Fibonacci Numbers to the Rogers-Ramanujan Identities,” 45(3):221–229.
CHUAN, Wai-Fong (coauthor: Fei Yu), “Three New Extraction Formulae,” 45(1):76–84.
CURTIN, Brian (coauthors: Ena Salter and David Stone), “Some Formulae for the Fibonacci Numbers,” 45(2):171–180.
DAFNIS, Spiros D. (coauthors: Frosso S. Makri and Andreas N. Philippou), “Restricted Occupancy of s Kinds of Cells
and
Generalized Pascal Triangles,” 45(4):347–356.
ELIA, Michele (coauthor: Christian Ballot), “Rank and Period of Primes in the Fibonacci Sequence. A Trichotomy,” 45(1):56–63.
ELOFF, Daniel (coauthors: Blair K. Spearman and Kenneth S. Williams), “A Number Field with Infinitely Many Normal Integral
Bases,” 45(2):151–154.
EWELL, John A., “Additive Evaluation of the Divisor Function,” 45(1):22–25.
EWELL, John A., “On the Sum-of-Divisors Function,” 45(3):205–207.
EVANS, Ronald (coauthor: Jonathan Pearlman), “Nonexistence of Odd Perfect Numbers of a Certain Form,” 45(2):122–127.
GIL, Juan B. (coauthors: Michael D. Weiner and Catalin Zara), “Complete Padovan Sequences in Finite Fields,” 45(1):64–75.
GOULD, H. W., (coauthor: Jocelyn Quaintance), “Products of Numbers Which Obey a Fibonacci-Type Recurrence,” 45(4):337–346.
GRUNDMAN, Helen G., “Consecutive Zeckendorf-Niven and Lazy-Fibonacci-Niven Numbers,” 45(3):272–276.
HARBORTH, Heiko (coauthors: Jens-P.P
Bode and Clark Kimberling), “Complementary Fibonacci Sequences,” 45(3):254–264.
n+i−1
HENDEL, Russell Jay, “Factorizations of j=1 Faj−b ,” 45(2):128–132.
IANNUCCI, Douglas E. (coauthor: Florian Luca), “Catalan Numbers, Factorials, and Sums of Aliquot Parts,” 45(4): 327–336.
ILIĆ-KOVAC̆EVIĆ, Angelina (coauthor: Olga Bodroz̆a-Pantić), “Algebraic Structure Count of Angular Hexagonal-Square
Chains,” 45(1):3–9.
JIA, C. Z. (coauthors: H. M. Liu and T. M. Wang), “q -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 m2 − 4k = 5n2 and Unique Representations of Positive Integers,” 45(4):304–312.
LIU, Guodong, “Some Computational Formulas for Nörlund Numbers,” 45(2):133–137.
LIU, H. M. (coauthors: C. Z. Jia and T. M. Wang), “q -Analogs of Generalized Fibonacci and Lucas Polynomials,” 45(1):26–34.
LONG, Calvin (coauthors: Shiro Ando and William C. Schulz), “An Extension of the GCD Star of David Theorem,” 45(3):194–201.
LUCA, Florian (coauthor: Laszlo Szalay), “Fibonacci Numbers of the Form pa ± pb + 1,” 45(2):98–103.
LUCA, Florian (coauthor: Alian Togbé), “On the Diophantine Equation x2 + 72k = y n ,” 45(4):322–326.
LUCA, Florian (coauthor: Douglas E. Iannucci), “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 Fibonacci Numbers at Non-
Equidistant Points,” 45(3):208–220.
2007]
383
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
pk ,” 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 pa ± pb + 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 k th-Order Linear Recurrences Modulo pr ,” 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.
2
2
2
+ fn−2
) − Fn−3
,” 45(4): 319–321.
STEVENS, Gary E., “The Bishop’s Tale: A Combinatorial Proof of Fn2 = 2(Fn−1
STONE, David (coauthors: Brian Curtin and Ena Salter), “Some Formulae for the Fibonacci Numbers,” 45(2):171–180.
TOGBÉ, Alain (coauthor: Florian Luca), “On the Diophantine Equation x2 + 72k = y n ,” 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), “q -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.
384
[NOVEMBER