grandes-ecoles 2024 Q16

grandes-ecoles · France · x-ens-maths-d__mp Number Theory Divisibility and Divisor Analysis
Show that $h(x) = \sum_{n=0}^{\infty} \frac{(2n)!(3n)!}{(n!)^5} x^n$ has integer coefficients.
Show that $h(x) = \sum_{n=0}^{\infty} \frac{(2n)!(3n)!}{(n!)^5} x^n$ has integer coefficients.