- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Nth Catalan numbers in java
The nth Catalan number in terms of binomial coefficients is calculated by the formula
(n + k )/k where k varies from 2 to n and n ≥ 0. i.e.
Cn = (2n)!/((n+1)!n!)
Program
public class NthCatalanNumber { public static long fact(int i) { if(i <= 1) { return 1; } return i * fact(i - 1); } public static void main(String args[]) { Scanner sc = new Scanner(System.in); System.out.println("Enter a number :"); int num = sc.nextInt(); //(2n)!/(n+1)!*n! long Cn = (fact(2*num))/(fact(num+1)*fact(num)); System.out.println("Catalan number :"+Cn); } }
Output
Enter a number : 7 Catalan number :429
Advertisements