# 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

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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++

 `// C++ implementation of the approach ` `#include ` `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; ` `} `

## Java

 `// 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 `

## Python3

 `# 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 `

## C#

 `// 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 `

Output:

```13
```

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