Greg Dresden

collaborators

4 papers

math.CO2026

Self-Convolutions of Generalized Narayana Numbers

Greg Dresden, Yuechen Xiao, Guanzhang Zhou

For the Fibonacci numbers $F_{n}$ , we have the self-convolution formula $5 \sum_{i = 0}^{n} F_{i} F_{n - i} = (2 n) F_{n + 1} - (n + 1) F_{n}$ . We find the corresponding self-convolution formula for…

math.NT2026

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

Areas Between Cosines

Muhammad Adam Dombrowski, Gregory Dresden

We find the area between $cos^{p} x$ and $cos^{p} n x$ as $n$ heads to infinity, and we establish a connection between these limiting values and the exponential generating function fo…

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.