8 citations · 16 across the 5 of their papers we have counts for
5 papers
Numerical and Statistical Analysis of Aliquot Sequences
Kevin Chum, Richard K. Guy, Michael J. Jacobson +1
We present a variety of numerical data related to the growth of terms in aliquot sequences, iterations of the function . First, we compute the geometric mean of th…
Difference Necklaces
Ethan P. White, Richard K. Guy, Renate Scheidler
An -difference necklace of length is a circular arrangement of the integers such that any two neighbours have absolute difference or . We…
Fibonacci Plays Billiards
Elwyn Berlekamp, Richard K. Guy
A chain is an ordering of the integers 1 to n such that adjacent pairs have sums of a particular form, such as squares, cubes, triangular numbers, pentagonal numbers, or Fibonacci…
The Triangle
Richard K. Guy
If we label the vertices of a triangle with 1, 2 and 4, and the orthocentre with 7, then any of the four numbers 1, 2, 4, 7 is the nim-sum of the other three and is their orthocent…
Conway's subprime Fibonacci sequences
Richard K. Guy, Tanya Khovanova, Julian Salazar
It's the age-old recurrence with a twist: sum the last two terms and if the result is composite, divide by its smallest prime divisor to get the next term (e.g., 0, 1, 1, 2, 3, 5,…