pow:problem7s24
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| pow:problem7s24 [2024/05/06 00:00] – created mazur | pow:problem7s24 [2024/05/07 19:57] (current) – mazur | ||
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| + | <box 85% round orange|Problem 7 (due Monday, May 6) > | ||
| + | Prove that for every $n\geq 1$ the number | ||
| + | \[ \frac{(1^2+2^2+\ldots + n^2)!}{(1!)^2\cdot(2!)^3\cdot(3!)^4\cdot\ldots \cdot(n!)^{n+1}}\] | ||
| + | is an integer. | ||
| + | |||
| + | </ | ||
| + | We received only one solution, from Sasha Aksenchuk. For a complete solution see the following link {{: | ||