Articles

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C. Cooper, The Fifteen Puzzle, Recreational Computing, Vol. 9, No. 5, Issue 50 (Mar. Apr. 1981), 34-36.
C. Cooper and L. J. Cooper, Rubik's Cube Demystified, Microcomputing, January 1982, 28-31.
C. Cooper, A Knockout Tournament Problem, Crux Mathematicorum, Vol. 8, No. 4 (April 1982), 93-95.
C. N. Cooper, R. E. Kennedy, and C. H. Best, An Algebraic Investigation of the APL 'Grade-Up' Function, Mathematics and Computer Education, Vol. 16, No. 1 (Winter 1982), 29-32.
C. Cooper and L. J. Cooper, Painting Poles and Dekker's Algorithm, Collegiate Microcomputer, Vol. 1, No. 3 (August 1983), 225-231.
R. E. Kennedy and C. Cooper, Crossword Puzzle Pattern Generator, Creative Computing, Vol. 9, No. 9 (September 1983), 252-256.
M. Butherus and C. Cooper, Let's Play Chicken, In Cider, October 1983, 148-149.
C. Cooper, Application of a Generalized Fibonacci Sequence, The College Mathematics Journal, Vol. 15, No. 2 (Mar. 1984), 145-146.
C. Cooper and R. E. Kennedy, A Dice-Tossing Problem, Crux Mathematicorum, Vol. 10, No. 5 (May 1984), 134-138.
R. E. Kennedy and C. Cooper, On the Natural Density of the Niven Numbers, The College Mathematics Journal, Vol. 15, No. 4 (Sep. 1984), 309-312.
C. Cooper, Trees and Tennis Rankings, The College Mathematics Journal, Vol. 17, No. 1 (Jan. 1986), 76-78.
C. Cooper, Geometric Series and a Probability Problem, The American Mathematical Monthly, Vol. 93, No. 2 (Feb. 1986), 126-127.
C. Cooper and R. E. Kennedy, Is the Mean Bowling Score Awful?, Journal of Recreational Mathematics, Vol. 18, No. 3 (1986), 205-208.
R. E. Kennedy and C. Cooper, Bach, 5465, and Upside-Down Numbers, The College Mathematics Journal, Vol. 18, No. 2 (Mar. 1987), 111-115.
C. Cooper and R. E. Kennedy, A Partial Asymptotic Formula for the Niven Numbers, The Fibonacci Quarterly, 26.2 (1988), 163-168.
C. Cooper and R. E. Kennedy, Chebyshev's Inequality and Natural Density, The American Mathematical Monthly, Vol. 96, No. 2 (Feb. 1989), 118-124.
R. E. Kennedy and C. Cooper, Niven Repunits and 10^n = 1 (mod n), The Fibonacci Quarterly, 27.2 (1989), 139-143.
R. E. Kennedy, C. Cooper, V. Drobot, and F. Hickling, On the Natural Density of the Range of the Terminating Nines Function, International Journal of Mathematics and Mathematical Sciences, 12 (1989), 805-808.
C. Cooper and R. E. Kennedy, A Generating Function for the Distribution of the Scores of all Possible Bowling Games, Mathematics Magazine, Vol. 63, No. 4 (Oct. 1990), 239-243.
R. E. Kennedy and C. Cooper, Tau Numbers, Natural Density, and Hardy and Wright's Theorem 437, International Journal of Mathematics and Mathematical Sciences, 13 (1990), 383-386.
R. E. Kennedy and C. Cooper, An Extension of a Theorem by Cheo and Yien Concerning Digital Sums, The Fibonacci Quarterly, 29.2 (1991), 145-149.
R. E. Kennedy and C. Cooper, The Statistics of the Smallest Space on a Lottery Ticket, The Fibonacci Quarterly, 29.4 (1991), 367-370.
C. Cooper and R. E. Kennedy, Digital Sum Sums, Jour. Inst. Maths. & Comp. Sc., Vol. 5, No. 1 (1992), 45-49.
C. Cooper and R. E. Kennedy, Patterns, Automata, and Stirling Numbers of the Second Kind, Mathematics and Computer Education Journal, 26 (1992), 120-124.
M. Saadatmanesh, R. E. Kennedy, and C. Cooper, Super Niven Numbers, Mathematics in College, Fall-Winter 1992, 21-30.
R. E. Kennedy and C. Cooper, Variations on a Five-by-Five Seating Rearrangement Problem, Mathematics in College, Fall-Winter 1993, 59-67.
C. Cooper and R. E. Kennedy, On Consecutive Niven Numbers, The Fibonacci Quarterly, 31.2 (1993), 146-151.
R. E. Kennedy and C. Cooper, Sums of Powers of Digital Sums, The Fibonacci Quarterly, 31.4 (1993), 341-345.
C. Cooper and R. E. Kennedy, On the Number of Occurrences of the Digit 1 in the Sequence of Positive Integers Less Than n, Journal of Institute of Mathematics and Computer Sciences, 7 (1994), 121-127.
S. Orr and C. Cooper, A Compact Strategy for Numerical Tic-Tac-Toe, Journal of Recreational Mathematics, 27 (1995), 161-171.
C. Cooper and R. E. Kennedy, Proof of a Result by Jarden by Generalizing a Proof by Carlitz, The Fibonacci Quarterly, 33.4 (1995), 304-310.
T. Otake, R. E. Kennedy, and C. Cooper, On a Seating Rearrangement Problem, Mathematics and Informatics Quarterly, 6 (1996), 63-71.
C. Cooper and R. E. Kennedy, On the Set of Positive Integers Which are Relatively Prime to Their Digital Sum and its Complement, Journal of Institute of Mathematics & Computer Sciences, 10 (1997), 173-180.
C. Cooper, R. E. Kennedy, and M. Renberg, On Certain Sums of Functions of Base b Expansions, The Fibonacci Quarterly, 36.5 (1998), 407-415.
C. Cooper and R. E. Kennedy, An Explicit Expression for Large Digit Sums in Base B Expansions, Journal of Institute of Mathematics & Computer Sciences, 11 (1998), 25-32.
C. Cooper and R. E. Kennedy, On Conway's RATS, Mathematics in College, (1998), 28-35.
C. Cooper and R. E. Kennedy, A Generalization of a Result by Trollope on Digital Sums, Journal of Institute of Mathematics & Computer Sciences, 12 (1999), 17-22.
C. Cooper and R. E. Kennedy, Base 10 RATS Cycles and Arbitrarily Long Base 10 RATS Cycles, Applications of Fibonacci Numbers, Volume 8, 83-93.
R. S. Melham and C. Cooper, The Eigenvectors of a Certain Matrix of Binomial Coefficients, The Fibonacci Quarterly, 38.2 (2000), 123-126.
S. Shattuck and C. Cooper, Divergent RATS Sequences, The Fibonacci Quarterly, 39.2 (2001), 101-106.
C. Cooper and R. E. Kennedy, Finding Moments of the Large Digit Function Using Delange's Method, Journal of Institute of Mathematics & Computer Sciences, 13 (2000), 35-41.
C. Cooper and R. E. Kennedy, The First Moment of the Numbers of 1's Function in the Beta-Expansion of the Positive Integers , Journal of Institute of Mathematics & Computer Sciences, 14 (2001), 69-77.
R. E. Kennedy and C. Cooper, A Generalization of a Result by Narkiewicz Concerning Large Digits of Powers, Univ. Beograd. Publ. Elektrotehn. Fak., 11 (2000), 36-40.
M. Wiemann and C. Cooper, Divisibility of an F-L Type Convolution, Applications of Fibonacci Numbers, Volume 9, 267-287, 2004.
C. Cooper and M. Parihar, On Primes in the Fibonacci and Lucas Sequences, Journal of Institute of Mathematics & Computer Sciences, 15 (2002) 115-121.
C. Cooper, Bounds on the Number of Large Digits in the Positive Integers Not Exceeding n, Journal of Institute of Mathematics & Computer Sciences, 16 (2003), 13-21.
C. Cooper, Bounds on a Remainder Term Associated with the Number of Base q Digits >= d Function, Journal of Institute of Mathematics & Computer Sciences, 17 (2004), 233-242.
A. Tinsley and C. Cooper, Missouri Collegiate Mathematics Competition, FOCUS, 25.6 (August/September 2005), 42-43.
A. Ray and C. Cooper, On the Natural Density of the k-Zeckendorf Niven Numbers, Journal of Institute of Mathematics & Computer Sciences, 19 (2006), 83-98.
C. Cooper, An Identity for Generalized Fibonacci Numbers, Journal of Institute of Mathematics & Computer Sciences, 20 (2007), 1-8.
H. Chen and C. Cooper, n-Card Tricks, College Mathematics Journal, 40 (2009), 196-201.
C. Cooper, An Identity for Period k Second Order Linear Recurrence Systems, Congressus Numerantium, Proceedings of the 12th International Conference on Fibonacci Numbers and Their Applications, 200 (2010), 95-106.
C. Cooper and L. Somer, Lucas (a_1, a_2, ... , a_k=1) Sequences and Pseudoprimes, Congressus Numerantium, Proceedings of the 13th International Conference on Fibonacci Numbers and Their Applications, 201 (2010), 55-76.
C. Cooper, Two Identities Involving Generalized Fibonacci Numbers, Journal of Institute of Mathematics & Computer Sciences, 23 (2010), 21-26.
L. Somer and C. Cooper, Lucas (a_1, a_2, ... , a_k = +/-1) Pseudoprimes, The Fibonacci Quarterly, 48.2 (2010), 98-113.
H. Chen and C. Cooper, To Your Hearts' Content, The Mathematical Gazette, 94.531 (Nov. 2010), 467-473.
C. Cooper, The k-Zeckendorf Array, Aportaciones Matematicas, Proceedings of the 14th International Conference on Fibonacci Numbers and Their Applications, 20 (2011), 79-90.
F. T. Howard and C. Cooper, Some Identities for r-Fibonacci Numbers, The Fibonacci Quarterly, 49.3 (2011), 231-242..
P. G. Anderson and C. Cooper, Every Positive k-bonacci Sequence Eventually Agrees with a Row of the k-Zeckendorf Array, The Fibonacci Quarterly, 49.4 (2011), 303-309.
C. Cooper, Identities in the Spirit of Ramanujan's Amazing Identity, Annales Mathematicae et Informaticae, 41 (2013), 41-55.
C. Cooper, Algebraic Statements Similar to Those in Ramanujan's "Lost Notebook", The Fibonacci Quarterly, 52.5 (2014), 91-101.
C. Cooper, Some Identities Involving Differences of Products of Generalized Fibonacci Numbers, Colloquium Mathematicum, 141 (2015), 45-49.
C. Cooper, Identities for Like-Powers of Lucas Sequences From Algebraic Identities, Colloquium Mathematicum, 149 (2017), 165-177.
H. Chen and C. Cooper, Solving Sudoku: Structures and Strategies, Missouri Journal of Mathematical Sciences, 29.1 (2017), 12-18.
C. Cooper, S. Miller, P. J. C. Moses, M. Sahin, and T. Thanatipanonda, On Identities of Ruggles, Horadam, Howard, and Young, The Fibonacci Quarterly, 55.5 (2017), 52-65.
C. Cooper, The Chinese Ring puzzle, the Crazy Elephant Dance puzzle, the b-Spinout puzzle, and Gray codes, The Mathematical Gazette, 103.558 (2019), 431-441.
C. Cooper, Some High Degree Generalized Fibonacci Identities, The Fibonacci Quarterly, 57.5 (2019), 49-54.
C. Cooper and L. Ericksen, First Solution for Problem 7, The Fibonacci Quarterly, 57.5 (2019), 175-179.
C. Cooper and R. Parry, Jr., Factorizations of Some Periodic Linear Recurrence Systems, Colloquium Mathematicum, 166 (2021), 171-186.
C. Cooper and R. E. Kennedy, Expected Length and Probability of Winning a Tennis Game, The Mathematical Gazette, 105.564 (Nov. 2021), 490-500.
C. Cooper, Finite Sums of Consecutive Terms of a Second Order Linear Recurrence Relation, Integers, Volume 21 (2021), A114.
C. Cooper, A Generalization of an Inequality by Graham, Integers, Volume 22 (2022), A50.

Other Material

Index to Hardy and Wright's Number Theory Book