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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 CatalanNumbers { 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! for(int i = 0; i<=num; i++) { long Cn = (fact(2*i))/(fact(i+1)*fact(i)); System.out.println("C"+i+": "+Cn); } } }
Output
Enter a number : 7 C0: 1 C1: 1 C2: 2 C3: 5 C4: 14 C5: 42 C6: 132 C7: 429
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