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Volume 6 (2006)
A1:
On the Largest k-primitive Subset of [1,n]
Sujith Vijay
A2:
A Bijective Proof of
fn+4+f1 + 2f2 + ... +
n fn = (n+1)fn+2+3
Philip Matchett Wood
A3:
Permutations of the Natural Numbers
with Prescribed Difference Multisets
Peter Hegarty and Urban Larsson
A4:
Simpson's Paradox in the Farey Sequence
Rasa Šleževičienė-Steuding and
Jörn Steuding
A5:
The Akiyama-Tanigawa Algorithm for
Carlitz's q-Bernoulli Numbers
Jiang Zeng
A6:
On the Equation m-1 = a
(m)
Marian Deaconescu
A7:
Partitions into Sum-free Sets
Peter F. Blanchard, Frank Harary, and Rogério Reis
A8:
Factorizations and Paige's Theorem on Complete Maps
Sándor Szabó
A9:
On a Special Congruence of Carlitz
Sandro Mattarei
A10:
Integrality of Quotients of Wronskians of the Andrews-Gordon Series
Zajj Daugherty
A11:
The Dinner Table Problem: The Rectangular Case
Roberto Tauraso
A12:
Linear Recurrent Sequences and Powers of
a Square Matrix
Hacène Belbachir and Farid Bencherif
A13:
The Size of the Largest Part of Random Plane
Partitions of Large Integers
Ljuben Mutafchiev
A14:
On a Linear Diophantine Problem of Frobenius
(see also this article's
Errata)
Amitabha Tripathi
A15:
On Sums of Squares of Pell-Lucas Numbers
Zvonko Čerin and Gian Mario Gianella
A16:
On the Irreducibility of {-1,0,1}-Quadrinomials
Carrie Finch and Lenny Jones
A17:
A Generalization of an IMO Problem
Alex Fink
A18:
Character Sums and Ramsey Properties of Generalized Paley Graphs
Nicholas Wage
A19:
The General gcd-Product Function
(see also this article's
Corrigendum: A39, Volume 6)
Andrew D. Loveless
A20:
On Mod p Logarithms loga b
and logb a
Marcin Mazur
A21:
Congruences with Factorials Modulo p
Yong-Gao Chen and Li-Xia Dai
A22:
Counting Polyominoes on Twisted Cylinders
Gill Barequet, Micha Moffie, Ares Ribó, and Günter Rote
A23:
A Generalization of the Smarandache Function to
Several Variables
Norbert Hungerbühler and Ernst Specker
A24:
The Cube of the Fermat Quotient
Karl Dilcher and Ladislav Skula
A25:
Some Observations on Subset Sum Representations
Donald Mills
A26:
On the Entry Sum of Cyclotomic Arrays
Don Coppersmith and John Steinberger
A27:
Sums of Reciprocals of the Central Binomial Coefficients
Renzo Sprugnoli
A28:
An Improved Upper Bound on the
Maximum Size of k-Primitive Sets
Peter Hegarty
A29:
On the Growth of a Van Der Waerden-Like
Function
Ron Graham
A30:
Davenport Constant with Weights and Some Related Questions
Sukumar Das Adhikari and Purusottam Rath
A31:
A Study of Eulerian Numbers for Permutations in
the Alternating Group
Shinji Tanimoto
A32:
More on the Fibonacci Sequence and Hessenberg Matrices
Morteza Esmaeili
A33:
Trivial Selmer Groups and Even Partitions of a Graph
Morgan V. Brown, Neil J. Calkin, Kevin James, Adam J. King, Shannon Lockard,
and Robert C Rhoades
A34:
Enumerating Segmented Patterns
in Compositions and Encoding
by Restricted Permutations
Sergey Kitaev, Tyrrell B. McAllister, and T. Kyle Petersen
A35:
Combinatorial Proofs of Some Moriarty-Type
Binomial Coefficient Identities
Mark Shattuck
A36:
Some Properties of the Euler Quotient Matrix
Ikhalfani Solan
A37:
Maximal Continuants and Periodicity
G. Ramharter
A38:
Tight Instances of the Lonely Runner
Luis Goddyn and Erick B. Wong
A39:
Corrigendum to Article A19, Volume 6 (
The General gcd-Product Function)
Andrew D. Loveless
A40:
On the Product of Log-Concave Polynomials
Woong Kook
A41:
On a Variation of Perfect Numbers
Douglas E. Iannucci
Games Articles
G1: Mathematics of Ghaly's Machine
David Joyner
G2:
A Deletion Game on Graphs: Le Pic Arête
Lois Blanc, Eric Duchêne, and Sylvain Gravier
G3:
King and Rook Vs. King on a Quarter-Infinite Board
Richard M. Low and Mark Stamp
Note: Due to an oversight, this page was in error
from May 18 to 19, 2006. It is now corrected and
we apologize for any inconvenience.
(m)