Given a number N, the task is to find Nth Pentacontagon number.
A Pentacontagon number is class of figurate number. It has 50 – sided polygon called pentacontagon. The N-th pentacontagon number count’s the 50 number of dots and all others dots are surrounding with a common sharing corner and make a pattern. The first few pentacontagonol numbers are 1, 50, 147, 292 …
Examples:
Input: N = 2
Output: 50
Explanation:
The second pentacontagonol number is 50.
Input: N = 3
Output: 147
Approach: The N-th pentacontagon number is given by the formula:
- Nth term of s sided polygon =
- Therefore Nth term of 50 sided polygon is
Below is the implementation of the above approach:
C++
#include <bits/stdc++.h>
using namespace std;
int pentacontagonNum( int n)
{
return (48 * n * n - 46 * n) / 2;
}
int main()
{
int n = 3;
cout << "3rd pentacontagon Number is = "
<< pentacontagonNum(n);
return 0;
}
|
C
#include <stdio.h>
#include <stdlib.h>
int pentacontagonNum( int n)
{
return (48 * n * n - 46 * n) / 2;
}
int main()
{
int n = 3;
printf ( "3rd pentacontagon Number is = %d" ,
pentacontagonNum(n));
return 0;
}
|
Java
import java.util.*;
class GFG {
static int pentacontagonNum( int n)
{
return ( 48 * n * n - 46 * n) / 2 ;
}
public static void main(String[] args)
{
int n = 3 ;
System.out.println( "3rd pentacontagon Number is = " +
pentacontagonNum(n));
}
}
|
Python3
def pentacontagonNum(n):
return ( 48 * n * n - 46 * n) / / 2
n = 3
print ( "3rd pentacontagon Number is = " ,
pentacontagonNum(n))
|
C#
using System;
class GFG {
static int pentacontagonNum( int n)
{
return (48 * n * n - 46 * n) / 2;
}
public static void Main( string [] args)
{
int n = 3;
Console.Write( "3rd pentacontagon Number is = " +
pentacontagonNum(n));
}
}
|
Javascript
<script>
function pentacontagonNum( n)
{
return (48 * n * n - 46 * n) / 2;
}
let n = 3;
document.write( "3rd pentacontagon Number is " + pentacontagonNum(n));
</script>
|
Output: 3rd pentacontagon Number is = 147
Time Complexity: O(1)
Auxiliary Space: O(1)
Reference: https://en.wikipedia.org/wiki/Pentacontagon
Last Updated :
22 Jun, 2021
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