Rainbow numbers of $[n]$ for ${\sum }_{i=1}^{k-1}{x}_i=x_k$

Kean Fallon, Colin Giles, Hunter Rehm +2

Consider the set $\{1,2,\dots ,n\}=[n]$ and an equation $eq$. The rainbow number of $[n]$ for $eq$, denoted $\mathrm{rb}([n],eq)$, is the smallest number of colors such that…