MATHS
posted by SOmebody .
The sequence {ak}112,k=1 satisfies a1=1 and an=1337+n/an−1, for all positive integers n. Let
S=⌊a10a13+a11a14+a12a15+⋯+a109a112⌋.
Find the remainder when S is divided by 1000.

849

explain, please?
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