Hectagon Number

Given a number N, the task is to find N^th hectagon number.

A hectagon number is class of figurate number. It has 100 – sided polygon called hectagon. The N-th hectagon number count’s the 100 number of dots and all others dots are surrounding with a common sharing corner and make a pattern. The first few hectagonol numbers are 1, 100, 297, 592 …

Examples:

Input: N = 2 
Output: 100 
Explanation:
The second hectagonol number is 100. 
Input: N = 3 
Output: 297 

Approach: The N-th hectagon number is given by the formula:

• Nth term of s sided polygon = 
  
• Therefore Nth term of 100 sided polygon is
  

• 
  

Below is the implementation of the above approach:

C++

// C++ program for above approach
#include <bits/stdc++.h>
using namespace std;

// Finding the nth hectagon Number
int hectagonNum(int n)
{
    return (98 * n * n - 96 * n) / 2;
}

// Driver Code
int main()
{
    int n = 3;
    cout << "3rd hectagon Number is = "
         << hectagonNum(n);

    return 0;
}

// This code is contributed by shivanisinghss2110

C

// C program for above approach
#include <stdio.h>
#include <stdlib.h>

// Finding the nth hectagon Number
int hectagonNum(int n)
{
    return (98 * n * n - 96 * n) / 2;
}

// Driver program to test above function
int main()
{
    int n = 3;
    printf("3rd hectagon Number is = %d",
           hectagonNum(n));

    return 0;
}

Java

// Java program for above approach
import java.util.*;
class GFG{

// Finding the nth hectagon Number
static int hectagonNum(int n)
{
    return (98 * n * n - 96 * n) / 2;
}

// Driver Code
public static void main(String args[])
{
    int n = 3;
    System.out.print("3rd hectagon Number is = " +
                                  hectagonNum(n));
}
}

// This code is contributed by Akanksha_Rai

Python3

# Python3 program for above approach

# Finding the nth hectagon number
def hectagonNum(n):

    return (98 * n * n - 96 * n) // 2

# Driver code
n = 3
print("3rd hectagon Number is = ",
                   hectagonNum(n))

# This code is contributed by divyamohan123

C#

// C# program for above approach
using System;
class GFG{

// Finding the nth hectagon Number
static int hectagonNum(int n)
{
    return (98 * n * n - 96 * n) / 2;
}

// Driver Code
public static void Main()
{
    int n = 3;
    Console.Write("3rd hectagon Number is = " +
                               hectagonNum(n));
}
}

// This code is contributed by Akanksha_Rai

Javascript

<script>


// JavaScript program for above approach

// Finding the nth hectagon Number
function hectagonNum(n)
{
    return (98 * n * n - 96 * n) / 2;
}

// Driver Code
var n = 3;
document.write("3rd hectagon Number is = "  + hectagonNum(n));


</script>

Output:

3rd hectagon Number is = 297

Time Complexity: O(1)

Auxiliary Space: O(1)

Reference: https://en.wiktionary.org/wiki/hectagon