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Gerry Myerson
Gerry Myerson
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Let $C_n=\frac1{n+1}\binom{2n}n$ be the well-known Catalan numbers. Here is a curiosity.

QUESTION. Are there infinitely many $C_n$ that are "radical", i.e. that are a product of square-free primes?

Let $C_n=\frac1{n+1}\binom{2n}n$ be the well-known Catalan numbers. Here is a curiosity.

QUESTION. Are there infinitely many $C_n$ that are "radical", i.e. that are a product of square-free primes?

Let $C_n=\frac1{n+1}\binom{2n}n$ be the well-known Catalan numbers. Here is a curiosity.

QUESTION. Are there infinitely many $C_n$ that are "radical", i.e. that are square-free?

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T. Amdeberhan
T. Amdeberhan
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"Radical" Catalan numbers?

Let $C_n=\frac1{n+1}\binom{2n}n$ be the well-known Catalan numbers. Here is a curiosity.

QUESTION. Are there infinitely many $C_n$ that are "radical", i.e. that are a product of square-free primes?