Catalan Triangle Row

Interface

Catalan Triangle Row

The recurrent formula used to generate Catalan's triangle is

The number found at represents the Catalan number of order .

Example:

#include <codecogs/maths/combinatorics/sequences/catalan_triangle_row.h>
#include <iostream>
int main() {
  std::vector<int> row = Maths::Combinatorics::Sequences::catalan_triangle_row(6);
  std::cout << "Length of row: " << row.size() << std::endl;
  for (int i = 0; i < row.size(); i++)
    std::cout << row[i] << "  ";
  std::cout << std::endl;
  return 0;
}

Output:

Length of row: 7
1  6  20  48  90  132  132

References:

SUBSET, a combinatorial functions library created in C++, http://www.csit.fsu.edu/~burkardt/cpp_src/subset/subset.html

Parameters

first

Default value = true

Returns

the row of order n in Catalan's triangle, as a standard C++ vector

Authors

Lucian Bentea (August 2005)

Source Code

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

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