Ich habe mich bei der Formel leider vertippt. Die richtige Formel lautet:
$$ \sum _{ i=1 }^{ n }{ \prod _{ j=0 }^{ m-1 }{ (i+j)=\frac { (n+m)! }{ (m+1)(n-1)! } } } $$
LG
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