Let $a_n = 4n^3 + 6n^2 + 4n + 1.$  Find
\[a_8 + a_9 + a_{10} + \dots + a_{23}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $a_n = 4n^3 + 6n^2 + 4n + 1.$  Find
\[a_8 + a_9 + a_{10} + \dots + a_{23}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
327680
Let $a_n = 4n^3 + 6n^2 + 4n + 1.$  Find
\[a_8 + a_9 + a_{10} + \dots + a_{23}.\]
train