C Exercises: Display the first 10 catalan numbers

Last update on March 19 2025 12:39:54 (UTC/GMT +8 hours)

12. Catalan Numbers Variants

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

Sample Solution:

C Code:

#include <stdio.h>
#include <math.h>
#include <stdlib.h>

// Function to calculate the nth Catalan number recursively
unsigned long int cataLan(unsigned int n)
{
    if (n <= 1) return 1; // Base case: Catalan number is 1 if n is 0 or 1
    unsigned long int catno = 0; // Initialize the Catalan number

    // Calculate the Catalan number using recursive formula
    for (int i = 0; i < n; i++)
        catno += cataLan(i) * cataLan(n - i - 1); // Sum of products of Catalan numbers

    return catno; // Return the calculated Catalan number
}

int main()
{
    printf("\n\n Find the first 10 Catalan numbers: \n");
    printf(" --------------------------------------\n");
    printf(" The first 10 Catalan numbers are: \n");

    // Calculate and display the first 10 Catalan numbers
    for (int i = 0; i < 10; i++)
        printf("%lu ", cataLan(i)); // Print the ith Catalan number

    printf("\n");

    return 0;
}

Sample Output:

 The first 10 catalan numbers are:                                                                             
1 1 2 5 14 42 132 429 1430 4862

Visual Presentation:

Flowchart:

For more Practice: Solve these Related Problems:

• Write a C program to compute Catalan numbers using dynamic programming.
• Write a C program to display Catalan numbers alongside their binomial coefficient representations.
• Write a C program to generate Catalan numbers recursively and analyze performance.
• Write a C program to list Catalan numbers with combinatorial interpretations for each.

C Programming Code Editor:

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