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Omni-MATH / Let a₁=1, and let a_(n)=⌊n³/a_(n−1)⌋ for n>1. Determine the value of a₉₉₉.

Problem

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problem

Let a1=1a_{1}=1, and let an=⌊n3/an−1⌋a_{n}=\left\lfloor n^{3} / a_{n-1}\right\rfloor for n>1n>1. Determine the value of a999a_{999}.
Plain-text mathematical notation (without MathML)
Let a₁=1, and let a_(n)=⌊n³/a_(n−1)⌋ for n>1. Determine the value of a₉₉₉.
Original LaTeX notation
Let $a_{1}=1$, and let $a_{n}=\left\lfloor n^{3} / a_{n-1}\right\rfloor$ for $n>1$. Determine the value of $a_{999}$.

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Source and history

task_id
be49a424-8425-5b87-9162-f57048b86498
task_key
test--be49a424-8425-5b87-9162-f57048b86498
task_revision_id
1
config / split
/ test

Official source

initial import