2 papers
math.CO2023
Refining Blecher and Knopfmacher's Integer Partition Fixed Points
Brian Hopkins
Recently, Blecher and Knopfmacher explored the notion of fixed points in integer partitions. Here, we distinguish partitions with a fixed point by which value is fixed and analyze…
math.CO2023
Arndt and De Morgan Integer Compositions
Brian Hopkins, Aram Tangboonduangjit
In 2013, Joerg Arndt recorded that the Fibonacci numbers count integer compositions where the first part is greater than the second, the third part is greater than the fourth, etc.…