SpecialSequence IMO Difficult
1981

Problem - 3176
If a sequence $\{a_n\}$ satisfies $a_1=1$ and $a_{n+1}=\frac{1}{16}\big(1+4a_n+\sqrt{1+24a_n}\big)$, find the general term of $a_n$.

The solution for this problem is available for $0.99. You can also purchase a pass for all available solutions for$99.