Given a number N, the task is to find Nth Enneacontahexagon number.
An Enneacontahexagon number is a class of figurate numbers. It has a 96-sided polygon called Enneacontahexagon. The N-th Enneacontahexagon number count’s the 96 number of dots and all other dots are surrounding with a common sharing corner and make a pattern. The first few Enneacontahexagonol numbers are 1, 96, 285, 568, 945, 1416, …
Examples:
Input: N = 2
Output: 96
Explanation:
The second Enneacontahexagonol number is 96.
Input: N = 3
Output: 285
Approach: The N-th Enneacontahexagon number is given by the formula:
- Nth term of s sided polygon =
- Therefore Nth term of 96 sided polygon is
Below is the implementation of the above approach:
C++
// C++ implementation for // above approach#include <bits/stdc++.h>using namespace std;// Function to find the Nth // Enneacontahexagon Numberint EnneacontahexagonNum(int n){ return (94 * n * n - 92 * n) / 2;}// Driver Codeint main(){ int n = 3; cout << EnneacontahexagonNum(n); return 0;} |
Java
// Java program to find N-th// Enneacontahexagon Numberclass GFG{// Function to find the nth// Enneacontahexagon Numberstatic int enneacontahexagonNum(int n){ return (94 * n * n - 92 * n) / 2;}// Driver codepublic static void main(String[] args){ int n = 3; System.out.print(enneacontahexagonNum(n));}}// This code is contributed by shubham |
Python3
# Python3 implementation for # above approach# Function to find the Nth # Enneacontahexagon Numberdef EnneacontahexagonNum(n): return (94 * n * n - 92 * n) // 2;# Driver Coden = 3;print(EnneacontahexagonNum(n));# This code is contributed by Code_Mech |
C#
// C# program to find N-th// Enneacontahexagon Numberusing System;class GFG{// Function to find the nth// Enneacontahexagon Numberstatic int enneacontahexagonNum(int n){ return (94 * n * n - 92 * n) / 2;}// Driver codepublic static void Main(){ int n = 3; Console.Write(enneacontahexagonNum(n));}}// This code is contributed by Code_Mech |
Javascript
<script>// Javascript program to find N-th// Enneacontahexagon Number // Function to find the nth // Enneacontahexagon Number function EnneacontahexagonNum( n) { return (94 * n * n - 92 * n) / 2; } // Driver code let n = 3; document.write(EnneacontahexagonNum(n));// This code contributed by aashish1995 </script> |
285
Reference: https://en.wikipedia.org/wiki/Enneacontahexagon
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