Hexacontatetragon numbers

Given a number N, the task is to find Nth Hexacontatetragon number.

An Hexacontatetragon number is a class of figurate numbers. It has a 64-sided polygon called Hexacontatetragon. The N-th Hexacontatetragon number count’s the 64 number of dots and all other dots are surrounding with a common sharing corner and make a pattern. The first few Hexacontatetragonol numbers are 1, 64, 189, 376, 625, 936, …

Examples:

Input: N = 2
Output: 64
Explanation:
The second Hexacontatetragonol number is 64.

Input: N = 3
Output: 189

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

Approach: The N-th Hexacontatetragon number is given by the formula:

• Nth term of s sided polygon =
• Therefore Nth term of 64 sided polygon is

Below is the implementation of the above approach:

C++

 // C++ implementation for above approach #include using namespace std;    // Function to Find the  // Nth Hexacontatetragon Number int HexacontatetragonNum(int n) {     return (62 * n * n - 60 * n) / 2; }    // Driver Code int main() {     int n = 3;     cout << HexacontatetragonNum(n);        return 0; }

Java

 // Java program to find N-th  // Hexacontatetragon number  class GFG{     // Function to find the nth  // Hexacontatetragon number  static int HexacontatetragonNum(int n)  {      return (62 * n * n - 60 * n) / 2; }     // Driver code  public static void main(String[] args)  {      int n = 3;      System.out.print(HexacontatetragonNum(n));  }  }     // This code is contributed by shubham

Python3

 # Python3 implementation for above approach    # Function to Find the  # Nth Hexacontatetragon Number def HexacontatetragonNum(n):        return (62 * n * n - 60 * n) / 2;    # Driver Code n = 3; print(HexacontatetragonNum(n));    # This code is contributed by Code_Mech

C#

 // C# program to find N-th  // Hexacontatetragon number  using System; class GFG{     // Function to find the nth  // Hexacontatetragon number  static int HexacontatetragonNum(int n)  {      return (62 * n * n - 60 * n) / 2; }     // Driver code  public static void Main()  {      int n = 3;      Console.Write(HexacontatetragonNum(n));  }  }     // This code is contributed by Code_Mech

Output:

189

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