Stirling-Zahl/2. Art/Partition/Extremwerte/Fakt

Für die Stirling-Zahlen zweiter Art gelten die folgenden Formeln (es sei ${}n\geq 1$ ).

${}S({n},{1})=1\,.$

${}S({n},{2})=2^{n-1}-1\,.$

${}S({n},{n-1})={\binom {n}{2}}\,.$

${}S({n},{n})=1\,.$

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