Given a number n, find the nth Centered Pentadecagonal Number .
A Centered Pentadecagonal Number represents a dot in the center and other dots surrounding it in successive pentadecagonal(15-sided polygon) layers.
Examples :
Input : 2 Output : 16 Input : 8 Output : 421
n-th term of Centered pentadecagonal number:-
Below is the basic implementation of the above idea.
C++
// C++ Program to find // nth centered // pentadecagonal number #include <bits/stdc++.h> using namespace std;
// centered pentadecagonal function int center_pentadecagonal_num( long int n)
{ // Formula to calculate nth
// centered pentadecagonal number
return (15 * n * n - 15 * n + 2) / 2;
} // Driver Code int main()
{ long int n = 3;
cout << n << "th number : "
<< center_pentadecagonal_num(n);
cout << endl;
n = 10;
cout << n << "th number : "
<< center_pentadecagonal_num(n);
return 0;
} |
C
// C Program to find // nth centered // pentadecagonal number #include <stdio.h> // centered pentadecagonal function int center_pentadecagonal_num( long int n)
{ // Formula to calculate nth
// centered pentadecagonal number
return (15 * n * n - 15 * n + 2) / 2;
} // Driver Code int main()
{ long int n = 3;
printf ( "%ldth number : %d\n" ,n,center_pentadecagonal_num(n));
n = 10;
printf ( "%ldth number : %d\n" ,n,center_pentadecagonal_num(n));
return 0;
} // This code is contributed by kothavvsaakash. |
Java
// Java Program to find nth centered // pentadecagonal number import java.io.*;
class GFG {
// centered pentadecagonal function
static long center_pentadecagonal_num( long n)
{
// Formula to calculate nth
// centered pentadecagonal number
return ( 15 * n * n - 15 * n + 2 ) / 2 ;
}
// Driver Code
public static void main (String[] args)
{
long n = 3 ;
System.out.print(n + "th number : " );
System.out.println(
center_pentadecagonal_num(n));
n = 10 ;
System.out.print( n + "th number : " );
System.out.println(
center_pentadecagonal_num(n));
}
} // This code is contributed by ajit. |
Python3
# Program to find nth #centered pentadecagonal number def center_pentadecagonal_num(n) :
# Formula to calculate nth
# centered pentadecagonal number
return ( 15 * n * n - 15 * n + 2 ) / / 2
# Driver Code if __name__ = = '__main__' :
n = 3
print (n, "rd number : " ,
center_pentadecagonal_num(n))
n = 10
print (n, "th number : " ,
center_pentadecagonal_num(n))
# This code is contributed by m_kit |
C#
// C# Program to find // nth centered // pentadecagonal number using System;
class GFG
{ // centered
// pentadecagonal function
static long center_pentadecagonal_num( long n)
{
// Formula to calculate
// nth centered
// pentadecagonal number
return (15 * n * n -
15 * n + 2) / 2;
}
// Driver Code
static public void Main ()
{
long n = 3;
Console.Write(n + "th number : " );
Console.WriteLine(
center_pentadecagonal_num(n));
n = 10;
Console.Write( n + "th number : " );
Console.WriteLine(
center_pentadecagonal_num(n));
}
} // This code is contributed by ajit. |
PHP
<?php // PHP Program to find // nth centered // pentadecagonal number // centered pentadecagonal function function center_pentadecagonal_num( $n )
{ // Formula to calculate nth
// centered pentadecagonal number
return (15 * $n * $n -
15 * $n + 2) / 2;
} // Driver Code $n = 3;
echo $n , "th number : " ,
center_pentadecagonal_num( $n );
echo "\n" ;
$n = 10;
echo $n , "th number : " ,
center_pentadecagonal_num( $n );
// This code is contributed by m_kit ?> |
Javascript
<script> // Javascript program to find nth centered // pentadecagonal number // centered pentadecagonal function function center_pentadecagonal_num(n)
{ // Formula to calculate nth
// centered pentadecagonal number
return (15 * n * n - 15 * n + 2) / 2;
} // Driver Code var n = 3;
document.write(n + "th number : " );
document.write(center_pentadecagonal_num(n) + "<br>" );
n = 10; document.write( n + "th number : " );
document.write(center_pentadecagonal_num(n)); // This code is contributed by Kirti </script> |
Output :
3th number : 46 10th number : 676
Time Complexity: O(1)
Auxiliary Space: O(1)