Definition:Catalan Number/Sequence
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Sequence of Catalan Numbers
The sequence of Catalan numbers begins:
- $(1,) \, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, \ldots$
where the inclusion or not of the initial $1$ depends on whether $n$ starts from $0$ or $1$.
This sequence is A000108 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $42$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $42$
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Catalan numbers