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Omni-MATH / Determine all integers k such that there exists infinitely many positive integers n [b]not[/b] satisfying n+k |binom{2n}{n}

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Determine all integers

k

such that there exists infinitely many positive integers

n

[b]not[/b] satisfying \[n+k |\binom{2n}{n}\]

Plain-text mathematical notation (without MathML)

Determine all integers k such that there exists infinitely many positive integers n [b]not[/b] satisfying 
\[n+k |\binom{2n}{n}\]

Original LaTeX notation

Determine all integers $k$ such that there exists infinitely many positive integers $n$ [b]not[/b] satisfying 
\[n+k |\binom{2n}{n}\]

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task_id: 30e6067a-25bc-50f1-8d67-9f74c414b3b9
task_key: test--30e6067a-25bc-50f1-8d67-9f74c414b3b9
task_revision_id: 3
config / split: / test

Official source

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