Question 74
Find the number of tuples of positive integers $(a_1, a_2, \dots, a_{2022})$ which satisfy $a_1 \lt a_2 \lt \dots \lt a_{2022}$ and
$$
a_1^2 - 6^2 \ge a_2^2 - 7^2 \ge \dots \ge a_{2022}^2 - 2027^2.
$$
$$
a_1^2 - 6^2 \ge a_2^2 - 7^2 \ge \dots \ge a_{2022}^2 - 2027^2.
$$