Formula:4416

Digital Library of Mathematical Functions ID 10.49.E17

${\displaystyle{\displaystyle s_{k}(n+\tfrac{1}{2})=\frac{(2k)!(n+k)!}{2^{2k}(k!)^{2}(n-k)!},}}$

Constraint(s)

${\displaystyle{\displaystyle k=0,1,\ldots,n}}$

Symbols List

• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
 

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