Question 171
Does there exist a sequence of pairwise distinct integers $a_1, a_2, \dots$ that satisfies both of the following conditions?
a. For all positive integers $k$, we have $a_{k^2} \gt 0$ and $a_{k^2+k} \lt 0$.
b. For all positive integers $n$, we have $|a_{n+1} - a_n| \le 2023\sqrt{n}$.
a. For all positive integers $k$, we have $a_{k^2} \gt 0$ and $a_{k^2+k} \lt 0$.
b. For all positive integers $n$, we have $|a_{n+1} - a_n| \le 2023\sqrt{n}$.