The binomial sum $$s_n=\binom{n}{0}+\binom{n+1}{1}+\binom{n+2}{2}+\cdots+\binom{2n}{n}$$
I tried solving through recurrence, but unable to find one.
2026-04-03 12:10:24.1775218224
Is it possible to get a formula for this summation
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use the difference $\binom{n}{k} = \binom{n-1}{k-1} + \binom{n-1}{k}$. You should get $\binom{2n}{n}$ if I'm not mistaken.