Schroeder Numbers List

Interface

Schroeder Numbers List

This function generates an array with the first n values in the Schroeder sequence, given by the following recurrent formula

with initial values

The Schroeder sequence is also defined by

where is the Legendre polynomial of order .

Example:

#include <codecogs/maths/combinatorics/sequences/schroeder_numbers_list.h>
#include <iostream>
int main() {
  std::vector<int> result = Maths::Combinatorics::Sequences::schroeder_numbers_list(10);
  std::cout << "Number of values: " << result.size() << std::endl;
  for (int i = 0; i < result.size(); i++)
    std::cout << result[i] << "  ";
  std::cout << std::endl;
  return 0;
}

Output:

Number of values: 10
1  1  3  11  45  197  903  4279  20793  103049

References:

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

Returns

an array of the first n values in the Schroeder sequence

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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