C++ Exercises: Display the first 10 Catlan numbers

Last update on April 12 2025 13:00:01 (UTC/GMT +8 hours)

15. Display First 10 Catalan Numbers

Write a program in C++ to display the first 10 Catlan numbers.

Visual Presentation:

C++ Exercises: Display the first 10 Catlan numbers

Sample Solution:

C++ Code :

#include<iostream> // Include the input/output stream library
using namespace std; // Use the standard namespace

// Function to calculate the Catalan number for a given 'n'
unsigned long int cataLan(unsigned int n)
{
    // Base case: If 'n' is 0 or 1, return 1 (Catalan number definition)
    if (n <= 1)
        return 1;

    unsigned long int catno = 0; // Initialize Catalan number variable

    // Loop to calculate Catalan number using the recursive formula
    for (int i = 0; i < n; i++)
        catno += cataLan(i) * cataLan(n - i - 1); // Recursive calculation for Catalan number

    return catno; // Return the calculated Catalan number for 'n'
}

// Main function
int main()
{
    cout << "\n\n Find the first 10 Catalan numbers: \n"; // Display message for the purpose of the program
    cout << " --------------------------------------\n";
    cout << " The first 10 Catalan numbers are: "<<endl; // Display message for the result

    // Loop to print the first 10 Catalan numbers
    for (int i = 0; i < 10; i++)
        cout << cataLan(i) << " "; // Display each Catalan number in the sequence

    cout << endl; // Move to a new line for better readability
    return 0; // Return 0 to signify successful completion of the program
}

Sample Output:

 Find the first 10 Catlan numbers:                                                                   
 --------------------------------------                                                              
 The first 10 Catlan numbers are:                                                                    
1 1 2 5 14 42 132 429 1430 4862

Flowchart:

For more Practice: Solve these Related Problems:

Write a C++ program to compute the first 10 Catalan numbers using recursion and dynamic programming.
Write a C++ program to generate Catalan numbers with memoization and display them in formatted output.
Write a C++ program to calculate Catalan numbers iteratively with efficient use of arrays for storage.
Write a C++ program to display the first 10 Catalan numbers using a combinatorial formula and precomputed factorials.

C++ Code Editor:

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