Math 2.0

Combinatorics Basic counting Concept

Central binomial coefficient

Summary

The central binomial coefficients (2nn)\binom{2n}{n} are the middle entries of the even rows of Pascal's triangle. They count balanced lattice paths and appear in the formula for Catalan numbers. The node central binomial coefficient gives the precise definition.

Further reading

  1. Web https://en.wikipedia.org/wiki/Central_binomial_coefficient, lead section
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MSC05A10
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