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Schröder Numbers and Combinatorial Sequences

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Multiple Choice

What is the general formula for the Schröder number (S_n)?

  1. \(S_n = \frac{1}{n+1}\binom{2n}{n}\)
  2. \(S_n = \frac{1}{n}\binom{2n+1}{n}\)
  3. \(S_n = \frac{1}{n+2}\binom{2n+2}{n}\)
  4. \(S_n = \frac{1}{n-1}\binom{2n-1}{n}\)
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