I am trying to find an exact formula for the following:
$\sum\limits_{i=0}^{n}{\binom{2n}{n-i}\frac{2i^2+i}{n+i+1}}$
I don't think this should be too bad with a rearrangement of terms, but I keep getting stuck.
I am trying to find an exact formula for the following:
$\sum\limits_{i=0}^{n}{\binom{2n}{n-i}\frac{2i^2+i}{n+i+1}}$
I don't think this should be too bad with a rearrangement of terms, but I keep getting stuck.