Greg Dresden

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20242026

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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.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.