期刊: FIBONACCI QUARTERLY, 2023; 61 (1)
We generalize the Calkin-Wilf sequence by applying its recursion formula to an irrational initial value. We prove that if we start with quadratic surd......
期刊: FIBONACCI QUARTERLY, 2023; 61 (1)
We determine all pairs of positive integers (a, b) such that a + b and a x b have the same decimal digits in reverse order: (2, 2), (9, 9), (3, 24), (......
期刊: FIBONACCI QUARTERLY, 2023; 61 (2)
Consider the integer sequences (F-root n:n is an element of N0) and (Flog2n:n is an element of N), lettingx denote the integer part of a nonnegative v......
期刊: FIBONACCI QUARTERLY, 2023; 61 (3)
Please send all communications concerning ADVANCED PROBLEMS AND SOLUTIONS to Robert Frontczak, LBBW, Am Hauptbahnhof 2, 70173 Stuttgart, Germany, or b......
期刊: FIBONACCI QUARTERLY, 2023; 61 (1)
Let k >= 1 and g >= 2 be positive integers. Any positive integer N of the form ------------------------------------------- N = d(1)... d(1) d(2)......
期刊: FIBONACCI QUARTERLY, 2023; 61 (1)
We continue the exploration of sums involving gibonacci polynomials and their numeric versions, and their Pell versions.
期刊: FIBONACCI QUARTERLY, 2023; 61 (4)
We explore six infinite sums involving gibonacci polynomial squares and their implications.
期刊: FIBONACCI QUARTERLY, 2023; 61 (4)
We explore the Jacobsthal versions of four infinite sums involving gibonacci polynomials.
期刊: FIBONACCI QUARTERLY, 2023; 61 (2)
We explore four infinite sums involving a special class of gibonacci polynomial squares.
期刊: FIBONACCI QUARTERLY, 2023; 61 (3)
A set A of positive integers is said to be Schreier if either A=& empty;or min A >=|A|. We give a bijective map to prove the recurrence of the ......