Number of cells in the Nth order figure

Given an integer N, the task is to find the number of cells in Nth order figure of the given type:

Examples:

Input: N = 2
Output: 5



Input: N = 3
Output: 13

Approach: It can be observed that for the values of N = 1, 2, 3, … a series will be formed as 1, 5, 13, 25, 41, 61, 85, 113, 145, 181, … whose Nth term will be N2 + (N – 1)2.

Below is the implementation of the above approach:

C++

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// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
  
// Function to return the number
// of cells in the nth order
// figure of the given type
int cntCells(int n)
{
    int cells = pow(n, 2) + pow(n - 1, 2);
    return cells;
}
  
// Driver code
int main()
{
    int n = 3;
  
    cout << cntCells(n);
  
    return 0;
}

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Java

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// Java implementation of the approach
class GFG
{
      
// Function to return the number
// of cells in the nth order
// figure of the given type
static int cntCells(int n)
{
    int cells = (int)Math.pow(n, 2) + 
                (int)Math.pow(n - 1, 2);
    return cells;
}
  
// Driver code
public static void main(String[] args)
{
    int n = 3;
  
    System.out.println(cntCells(n));
}
}
  
// This code is contributed by Code_Mech

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Python3

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# Python3 implementation of the approach 
  
# Function to return the number 
# of cells in the nth order 
# figure of the given type 
def cntCells(n) : 
  
    cells = pow(n, 2) + pow(n - 1, 2); 
      
    return cells; 
  
# Driver code 
if __name__ == "__main__"
  
    n = 3
  
    print(cntCells(n)); 
  
# This code is contributed by AnkitRai01

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C#

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// C# implementation of the approach 
using System;
      
class GFG
{
      
// Function to return the number
// of cells in the nth order
// figure of the given type
static int cntCells(int n)
{
    int cells = (int)Math.Pow(n, 2) + 
                (int)Math.Pow(n - 1, 2);
    return cells;
}
  
// Driver code
public static void Main(String[] args)
{
    int n = 3;
  
    Console.WriteLine(cntCells(n));
}
}
  
// This code is contributed by 29AjayKumar

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Output:

13


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