# Dodecagonal number

Given a number n, find the nth Dodecagonal number.Dodecagonal numbers represent Dodecagonal (A polygon with 12 sides).

Some of the Dodecagonal numbers are:
1, 12, 33, 64, 105, 156, 217, 288, 369, 460, 561, 672, 793, 924………………………..

Examples :

```Input : n = 4
Output : 64

Input : n = 9
Output : 369
```

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

Formula of nth Term of Dodecagonal number :

```n-th Dodecagonal number = 5n2 - 4n
```

Below is the implementation for nth Dodecagonal Number:

## C++

 `// CPP Program to find the ` `// nth Dodecagonal number ` `#include ` `using` `namespace` `std; ` ` `  `// function for Dodecagonal ` `// number ` `int` `Dodecagonal_number(``int` `n) ` `{ ` `    ``// formula for find Dodecagonal ` `    ``// nth term ` `    ``return` `5 * n * n - 4 * n; ` `} ` ` `  `// Driver Code ` `int` `main() ` `{ ` ` `  `    ``int` `n = 7; ` `    ``cout << Dodecagonal_number(n) << endl; ` ` `  `    ``n = 12; ` `    ``cout << Dodecagonal_number(n) << endl; ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java program to find the  ` `// nth Dodecagonal number ` `import` `java.util.*; ` ` `  `class` `GFG  ` `{ ` ` `  `    ``// function for  ` `    ``// Dodecagonal number ` `    ``static` `int` `Dodecagonal_number(``int` `n) ` `    ``{ ` `        ``// formula for find  ` `        ``// Dodecagonal nth term ` `        ``return` `5` `* n * n - ``4` `* n; ` `    ``} ` `     `  `    ``// Driver Code ` `    ``public` `static` `void` `main(String[] args)  ` `    ``{ ` ` `  `    ``int` `n = ``7``; ` `    ``System.out.println(Dodecagonal_number(n)); ` ` `  `    ``n = ``12``; ` `    ``System.out.println(Dodecagonal_number(n)); ` ` `  `    ``} ` `} ` ` `  `// This code is contributed by Anuj_67 `

## Python3

 `# Python program to find ` `# nth Dodecagonal number ` ` `  `# Function to calculate ` `# Dodecagonal number ` `def` `Dodecagonal_number(n): ` ` `  `    ``# Formula to calculate nth ` `    ``# Dodecagonal number ` `     `  `    ``return`  `5` `*` `n ``*` `n ``-` `4` `*` `n ` ` `  `# Driver Code ` `n ``=` `7` `print``(Dodecagonal_number(n)) ` ` `  `n ``=` `12` `print``(Dodecagonal_number(n)) ` `                     `  `# This code is contributed by aj_36. `

## C#

 `// C# program to find the nth Dodecagonal ` `// number ` `using` `System; ` ` `  `class` `GFG { ` ` `  `    ``// function for Dodecagonal ` `    ``// number ` `    ``static` `int` `Dodecagonal_number(``int` `n) ` `    ``{ ` `        ``// formula for find Dodecagonal ` `        ``// nth term ` `        ``return` `5 * n * n - 4 * n; ` `    ``} ` `     `  `    ``// Driver Code ` `    ``static` `void` `Main() ` `    ``{ ` `     `  `        ``int` `n = 7; ` `        ``Console.WriteLine(Dodecagonal_number(n)); ` `     `  `        ``n = 12; ` `        ``Console.WriteLine(Dodecagonal_number(n)); ` `     `  `    ``} ` `} ` ` `  `// This code is contributed by Anuj_67 `

## PHP

 ` `

Output :

```217
672
```

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