Summand minimality and asymptotic convergence of generalized Zeckendorf decompositions

Katherine Cordwell, Max Hlavacek, Chi Huynh +3

Given a recurrence sequence $H$, with $H_n=c_1{H}_{n-1}+\cdots +c_t{H}_{n-t}$ where $c_i\in {\mathbb{N}}_0$ for all $i$ and $c_1,c_t\ge 1$, the generalized Zeckendorf decomposi…