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2020-2021:teams:namespace:stirling数 [CVBB ACM Team]

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2020-2021:teams:namespace:stirling数

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2020-2021:teams:namespace:stirling数 [2020/08/05 22:14]
great_designer [奇偶性]
2020-2021:teams:namespace:stirling数 [2020/08/05 22:14] (当前版本)
great_designer [生成函数]
行 324: 行 324:
 其中n_2取值为0到p-2。则有: 其中n_2取值为0到p-2。则有:
  
-$$S_2(k_1p+k_2+n_1(p-1)+n_2,​k_1p+k_2)=\sum_{t=0}^{n_1} C_{k_1+n_1-t-1}^{k_1-1}S_2(k_2+n_2+(p-1)t,​k_2)$$+$$S_2(k_1p+k_2+n_1(p-1)+n_2,​k_1p+k_2)\equiv\sum_{t=0}^{n_1} C_{k_1+n_1-t-1}^{k_1-1}S_2(k_2+n_2+(p-1)t,​k_2)\mod p$$
  
 这是一个较复杂的卷积式,并不是一一对应的化归,但是总之将情况化归到了0到p-1列的某一列中。 这是一个较复杂的卷积式,并不是一一对应的化归,但是总之将情况化归到了0到p-1列的某一列中。
2020-2021/teams/namespace/stirling数.1596636842.txt.gz · 最后更改: 2020/08/05 22:14 由 great_designer