Given a number N, the task is to find Nth 65537-gon number.
A 65537-gon number is a class of figurate numbers. It has a 65537-sided polygon called 65537-gon. The N-th 65537-gon number count’s the 65537 number of dots and all other dots are surrounding with a common sharing corner and make a pattern. The first few 65537-gon numbers are 1, 65537, 196608, 393214, 655355, 983031, …
Examples:
Input: N = 2
Output: 65537
Explanation:
The second 65537-gonol number is 65537.
Input: N = 3
Output: 196608
Approach: The N-th 65537-gon number is given by the formula:
- Nth term of s sided polygon =
- Therefore Nth term of 65537 sided polygon is
Below is the implementation of the above approach:
C++
// C++ implementation for // above approach#include <bits/stdc++.h>using namespace std;// Function to find the // nth 65537-gon Numberint gonNum65537(int n){ return (65535 * n * n - 65533 * n) / 2;}// Driver Codeint main(){ int n = 3; cout << gonNum65537(n); return 0;} |
Java
// Java program for above approachclass GFG{ // Function to find the // nth 65537-gon Numberstatic int gonNum65537(int n) { return (65535 * n * n - 65533 * n) / 2;} // Driver code public static void main(String[] args) { int n = 3; System.out.print(gonNum65537(n)); } } // This code is contributed by shubham |
Python3
# Python3 implementation for # above approach# Function to find the # nth 65537-gon Numberdef gonNum65537(n): return (65535 * n * n - 65533 * n) // 2;# Driver Coden = 3;print(gonNum65537(n));# This code is contributed by Code_Mech |
C#
// C# program for above approachusing System;class GFG{ // Function to find the // nth 65537-gon Numberstatic int gonNum65537(int n) { return (65535 * n * n - 65533 * n) / 2;} // Driver code public static void Main(String[] args) { int n = 3; Console.Write(gonNum65537(n)); } } // This code is contributed by sapnasingh4991 |
Javascript
<script>// Javascript program for above approach // Function to find the // nth 65537-gon Number function gonNum65537( n) { return (65535 * n * n - 65533 * n) / 2; } // Driver code let n = 3; document.write(gonNum65537(n));// This code contributed by aashish1995 </script> |
Output:
196608
Reference: https://en.wikipedia.org/wiki/65537-gon
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