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[组合] 请教怎样求不定方程解的组数

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957683999 posted 2021-10-5 17:32 |Read mode
Last edited by hbghlyj 2025-4-23 10:53研究 $n \equiv 0\pmod 2$ 时 $y_1+y_2+\cdots+y_n=\frac{n(n+2)}{2}$ 其中 $1 \leq y_1 \leq y_2 \leq \cdots \leq y_n \leq n+1$ 的解 $(y_1, y_2, \cdots, y_n)$ 的组数等价问题即 $n \equiv 0\pmod 2, 1 \leq x_1<x_2<\cdots<x_n \leq 2 n$,求 $x_1+x_2+\cdots+x_n=\frac{n(2 n+1)}{2}$ 的解 $(x_1, x_2, \cdots, x_n)$ 的组数

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