Formula q_850 (Q657)

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Language	Label	Description	Also known as
English	Formula q_850	No description defined

Statements

arqmath formula id

q_850

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Defining formula

\sum _{k=0}^{n}k\cdot \left({\begin{array}{l}{n}\\{k}\end{array}}\right)\leq \sum _{k=0}^{n}k\cdot \left({\begin{array}{l}{n}\\{\lfloor {\frac {n}{2}}\rfloor }\end{array}}\right)\leq {\frac {n\cdot (n+1)}{2}}\cdot \left({\begin{array}{l}{n}\\{\lfloor {\frac {n}{2}}\rfloor }\end{array}}\right)\leq n(n+1)!\leq nn^{n}\leq n^{n+1}

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