Math 2.0

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.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

Sources

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

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Definitions