Self-Convolutions of Generalized Narayana Numbers

Greg Dresden, Yuechen Xiao, Guanzhang Zhou

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