# Dodecahedral number

Given a number n, the task is to find n-th dodecahedral number.
A dodecahedral number belongs to a figurate number and represents it dodecahedron.

First few Dodecahedral number (where n = 0, 1, 2, 3…….) are : 0, 1, 20, 84 and so on.

Examples :

Input : 2
Output : 20

Input :8
Output :2024


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

Mathematics formula for nth dodecahedral number: ## C++

 // C++ program to find nth  // dodecahedral number  #include  using namespace std;     // Function to find  // dodecahedral number  int dodecahedral_num(int n)  {      // Formula to calculate nth      // dodecahedral number      // and return it into main function.      return n * (3 * n - 1) * (3 * n - 2) / 2;  }     // Driver Code  int main()  {      int n = 5;      // print result      cout << n << "th Dodecahedral number: ";      cout << dodecahedral_num(n);      return 0;  }

## Java

 // Java program to find nth dodecahedral   // number  import java.io.*;     class GFG {         // Function to find dodecahedral number      static int dodecahedral_num(int n)      {                     // Formula to calculate nth          // dodecahedral number          // and return it into main function.          return n * (3 * n - 1) *                             (3 * n - 2) / 2;      }             // Driver Code      public static void main (String[] args)      {          int n = 5;          // print result          System.out.print( n + "the Dodecahedral"                                   + " number:");          System.out.println( dodecahedral_num(n));      }  }     // This code is contributed by anuj_67.

## Python3

 # Python program to find  # nth dodecahedral number     # Function to calculate  # dodecahedral number     def dodecahedral_num(n):         # Formula to calculate nth      # dodecahedral number             return n * (3 * n - 1) * (3 * n - 2) // 2    # Driver Code  n = 5 print("%sth Dodecahedral number :" %n,                      dodecahedral_num(n))                         # This code is contributed by ajit.

## C#

 // C# program to find nth dodecahedral   // number  using System;     class GFG {         // Function to find dodecahedral number      static int dodecahedral_num(int n)      {                     // Formula to calculate nth          // dodecahedral number          // and return it into main function.          return n * (3 * n - 1) *                          (3 * n - 2) / 2;      }             // Driver Code      public static void Main ()      {          int n = 5;             // print result          Console.Write( n + "the Dodecahedral"                                 + " number:");          Console.WriteLine( dodecahedral_num(n));      }  }     // This code is contributed by anuj_67.

## PHP

 

Output :

5th Dodecahedral number: 455


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