3 papers
math.CO2026
Self-Convolutions of Generalized Narayana Numbers
Greg Dresden, Yuechen Xiao, Guanzhang Zhou
For the Fibonacci numbers , we have the self-convolution formula . We find the corresponding self-convolution formula for…
math.NT2025
Further Extensions of Sury's Identity
Gregory Dresden, Xiaoya Gao
The equation commonly known as Sury's identity is a deceptively simple summation formula that connects the Lucas numbers, Fibonacci numbers, and powers of two. Many authors have gi…
math.CO2024
Look, There's More to Say about Conway's Look and Say Sequence
Greg Dresden, Jacob Siehler
We take Conway's Look and Say Sequence into a base-3 world, and we discover that there are only 24 interesting and irreducible sequences in base 3.