Concentric Hexagonal Numbers

The following numbers form the concentric hexagonal sequence :
0, 1, 6, 13, 24, 37, 54, 73, 96, 121, 150 ……

The number sequence forms a pattern with concentric hexagons, and the numbers denote the number of points required after the n-th stage of the pattern.



Examples:

Input : N = 3
Output : 13

Input : N = 4
Output : 24

Approach :
The above series can be referred from Concentric Hexagonal Numbers.

Nth term of the series is 3*n2/2

Below is the implementation of the above approach :

C++

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// CPP program to find nth concentric hexagon number
#include <bits/stdc++.h>
using namespace std;
  
// Function to find nth concentric hexagon number
int concentric_Hexagon(int n)
{
    return 3 * pow(n, 2) / 2;
}
  
// Driver code
int main()
{
    int n = 3;
  
    // Function call
    cout << concentric_Hexagon(n);
  
    return 0;
}

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Java

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// Java program to find
// nth concentric hexagon number
class GFG
{
      
    // Function to find
    // nth concentric hexagon number
    static int concentric_Haxagon(int n) 
    {
        return 3 * (int)Math.pow(n, 2) / 2;
    }
      
    // Driver Code
    public static void main (String[] args)
    {
        int n = 3;
          
        // Function call
        System.out.println(concentric_Haxagon(n));
    }
}
  
// This code is contributed by
// sanjeev2552

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Python3

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# Python3 program to find
# nth concentric hexagon number
   
# Function to find 
# nth concentric hexagon number
def concentric_Hexagon(n):
  
    return 3 * pow(n, 2) // 2
  
# Driver code
n = 3
  
# Function call
print(concentric_Hexagon(n))
   
# This code is contributed by Mohit Kumar

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C#

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// C# program to find nth concentric hexagon number
using System;
class GFG
{
  
// Function to find nth concentric hexagon number
static int concentric_Hexagon(int n)
{
    return 3 * (int)Math.Pow(n, 2) / 2;
}
  
// Driver code
public static void Main()
{
    int n = 3;
  
    // Function call
    Console.WriteLine(concentric_Hexagon(n));
}
}
  
// This code is contributed by Nidhi

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Output:

13


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