Pentacontahenagon Number

Pentacontahenagon Number is a class of figurate numbers. It has a 51 sided polygon called Pentacontahenagon. The N-th Pentacontahenagon number count’s the 51 number of dots and all other dots are surrounding with a common sharing corner and make a pattern.
First few Pentacontahenagonol Numbers are: 

1, 51, 150, 298,… 

Program to find the Nth Pentacontahenagon Number

Given a number N, the task is to find N^thNumber.
Examples:

Input: N = 2 
Output: 51 
Explanation:
The second Pentacontahenagonol number is 51. 
Input: N = 3 
Output: 150 

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

• N-th term of S sided polygon = 
  
• Therefore N-th term of 51 sided polygon is given by: 
  

• 
  

Below is the implementation of the above approach:

C++

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

// Function to find the N-th
// Pentacontahenagon Number
int PentacontahenagonNum(int N)
{
    return (49 * N * N - 47 * N)
        / 2;
}

// Driver Code
int main()
{
    int N = 3;

// Function Call
    cout << "3rd Pentacontahenagon Number is "
        << PentacontahenagonNum(N);

    return 0;
}

Java

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

// Function to find the N-th
// Pentacontahenagon Number
static int PentacontahenagonNum(int N)
{
    return (49 * N * N - 47 * N) / 2;
}

// Driver Code
public static void main(String[] args)
{
    int N = 3;

    // Function Call
    System.out.print("3rd Pentacontahenagon Number is " +
                                PentacontahenagonNum(N));
}
}

// This code is contributed by Rajput-Ji

Python3

# Python3 program for the above approach

# Function to find the N-th
# Pentacontahenagon Number
def PentacontahenagonNum(N):

    return (49 * N * N - 47 * N) // 2;

# Driver Code
N = 3;

# Function Call
print("3rd Pentacontahenagon Number is",
               PentacontahenagonNum(N));

# This code is contributed by Code_Mech

C#

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

// Function to find the N-th
// Pentacontahenagon Number
static int PentacontahenagonNum(int N)
{
    return (49 * N * N - 47 * N) / 2;
}

// Driver Code
public static void Main()
{
    int N = 3;

    // Function Call
    Console.Write("3rd Pentacontahenagon Number is " +
                             PentacontahenagonNum(N));
}
}

// This code is contributed by Code_Mech

Javascript

<script>
// Javascript program for the above approach

    // Function to find the N-th
    // Pentacontahenagon Number
    function PentacontahenagonNum( N) {
        return (49 * N * N - 47 * N) / 2;
    }

    // Driver Code

        let N = 3;

        // Function Call
        document.write("3rd Pentacontahenagon Number is " + PentacontahenagonNum(N));

// This code is contributed by aashish1995
</script>

Output:

3rd Pentacontahenagon Number is 150