Question 75
How many sequences of integers
$$
1 \leq a_{1} \leq a_{2} \leq \ldots \leq a_{11} \leq 2015
$$
that satisfy $a_{i} \equiv i^{2} (\bmod\ 12)$ for all $1 \leq i \leq 11$ are there?
$$
1 \leq a_{1} \leq a_{2} \leq \ldots \leq a_{11} \leq 2015
$$
that satisfy $a_{i} \equiv i^{2} (\bmod\ 12)$ for all $1 \leq i \leq 11$ are there?