JAVA LAB PROGRAMMING Write a Java program to find nth Catlan number. Try to give the highly Optimised Code and code should take input from the user.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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JAVA LAB PROGRAMMING
Write a Java program to find nth Catlan number.
Try to give the highly Optimised Code and code should take input from the user.
Transcribed Image Text:JAVA LAB PROGRAMMING Write a Java program to find nth Catlan number. Try to give the highly Optimised Code and code should take input from the user.
Expert Solution
Step 1: Explanation

The following formula determines the nth Catalan number in terms of binomial coefficients:

(n + k )/k

where k varies from 2 to n and n ≥ 0. i.e.

Catalan number(Cn) = (2n)!/((n+1)!n!)

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