Summation this Summer! 3

\[ \dbinom{2n}{1}^2 +2.\dbinom{2n}{2}^2 +3.\dbinom{2n}{3}^2 \cdots \cdots + 2n.\dbinom{2n}{2n}^2 \]

Find the closed form of the above series.

Notation:
\(!\) denotes the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).

×

Problem Loading...

Note Loading...

Set Loading...