I have the following notation issue:
Let $d(n,k)$ be a discrete function, I need to define the integer sequence $a(k)$ that, given $k = 2,3,4,\dots$, returns the minimum value of $n \in \mathbb{Z}^+$ such that $d(n,k)=k$.
My attempt is to write "$(\dots$) $a(k) := \min \{ n(k) : d(n,k)=k\}$, which is $a(k)=3, 6, ?$ ($k \in \mathbb{N}-\{0,1\}$)".
On the other hand, in the same article, I use the notation $\min(x_1,x_2,\dots,x_m)$ (round brackets instead of curly brackets as above), where $m,x_1,x_2,\dots,x_m \in \mathbb{Z}^+$. Is my approach clear enough?