Pentacontahenagon Number
Pentacontahenagon Number is a class of figurate numbers. It has a 51 sided polygon called Pentacontahenagon. The N-th Pentacontahenagon number count’s the 51 number of dots and all other dots are surrounding with a common sharing corner and make a pattern.
First few Pentacontahenagonol Numbers are:
1, 51, 150, 298,…
Program to find the Nth Pentacontahenagon Number
Given a number N, the task is to find NthNumber.
Examples:
Input: N = 2
Output: 51
Explanation:
The second Pentacontahenagonol number is 51.
Input: N = 3
Output: 150
Approach: The N-th Pentacontahenagon number is given by the formula:
- N-th term of S sided polygon =
- Therefore N-th term of 51 sided polygon is given by:
Below is the implementation of the above approach:
C++
// C++ program for the above approach #include <bits/stdc++.h> using namespace std; // Function to find the N-th // Pentacontahenagon Number int PentacontahenagonNum( int N) { return (49 * N * N - 47 * N) / 2; } // Driver Code int main() { int N = 3; // Function Call cout << "3rd Pentacontahenagon Number is " << PentacontahenagonNum(N); return 0; } |
Java
// Java program for the above approach import java.util.*; class GFG{ // Function to find the N-th // Pentacontahenagon Number static int PentacontahenagonNum( int N) { return ( 49 * N * N - 47 * N) / 2 ; } // Driver Code public static void main(String[] args) { int N = 3 ; // Function Call System.out.print( "3rd Pentacontahenagon Number is " + PentacontahenagonNum(N)); } } // This code is contributed by Rajput-Ji |
Python3
# Python3 program for the above approach # Function to find the N-th # Pentacontahenagon Number def PentacontahenagonNum(N): return ( 49 * N * N - 47 * N) / / 2 ; # Driver Code N = 3 ; # Function Call print ( "3rd Pentacontahenagon Number is" , PentacontahenagonNum(N)); # This code is contributed by Code_Mech |
C#
// C# program for the above approach using System; class GFG{ // Function to find the N-th // Pentacontahenagon Number static int PentacontahenagonNum( int N) { return (49 * N * N - 47 * N) / 2; } // Driver Code public static void Main() { int N = 3; // Function Call Console.Write( "3rd Pentacontahenagon Number is " + PentacontahenagonNum(N)); } } // This code is contributed by Code_Mech |
Javascript
<script> // Javascript program for the above approach // Function to find the N-th // Pentacontahenagon Number function PentacontahenagonNum( N) { return (49 * N * N - 47 * N) / 2; } // Driver Code let N = 3; // Function Call document.write( "3rd Pentacontahenagon Number is " + PentacontahenagonNum(N)); // This code is contributed by aashish1995 </script> |
Output:
3rd Pentacontahenagon Number is 150
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