Question 23
Prove that there is a positive integer number $n$ such that the decimal representation of the number:
$$
\sum_{k=1}^{\lfloor \frac{n}{3} \rfloor} \binom{n}{3k} 8^k
$$
ends in 2023 digits 8.
$$
\sum_{k=1}^{\lfloor \frac{n}{3} \rfloor} \binom{n}{3k} 8^k
$$
ends in 2023 digits 8.