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, 10:03, 19 May 2015
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| &= F(P, a_P) + F(P-1, a_{P-1}) + ... + F(1,,a_1) \\ | | &= F(P, a_P) + F(P-1, a_{P-1}) + ... + F(1,,a_1) \\ |
| &= \sum_{k=1}^P F(k, a_k) \\ | | &= \sum_{k=1}^P F(k, a_k) \\ |
− | &= \sum_{k=1}^P \binom{k+a_k-1}{a_k-1} | + | &= \sum_{k=1}^P \binom{k+a_k-1}{a_k-1} \\ |
| &= \sum_{k=1}^P \binom{k+a_k-1}{k} | | &= \sum_{k=1}^P \binom{k+a_k-1}{k} |
| \end{align} | | \end{align} |