Given a number n, the task is to find the nth tetradecagonal number. A tetradecagonal number is a 14-sided polygon called tetrakaidecagon or tetradecagon and belongs to the figurative number. The nth tetradecagonal number is dotted with some dots and create a series of pattern. They have a common sharing corner point and dotted with their spaces to each other. The dots continue with the nth nested loop.
Examples :
Input : 5
Output :125Input :7
Output :259
Formula for nth tetradecagonal number :-
// Program to find nth // Tetradecagonal number #include <bits/stdc++.h> using namespace std;
// Function to find // Tetradecagonal number int tetradecagonal_num( int n)
{ // Formula to calculate nth
// tetradecagonal number=
return (12 * n * n - 10 * n) / 2;
} // Driver Code int main()
{ int n = 2;
cout << n << " th Tetradecagonal number: " ;
cout << tetradecagonal_num(n);
cout << endl;
n = 6;
cout << n << " th Tetradecagonal number: " ;
cout << tetradecagonal_num(n);
return 0;
} |
// C Program to find nth // Tetradecagonal number #include <stdio.h> // Function to find // Tetradecagonal number int tetradecagonal_num( int n)
{ // Formula to calculate nth
// tetradecagonal number=
return (12 * n * n - 10 * n) / 2;
} // Driver Code int main()
{ int n = 2;
printf ( "%dth Tetradecagonal number: " ,n);
printf ( "%d\n" ,tetradecagonal_num(n));
n = 6;
printf ( "%dth Tetradecagonal number: " ,n);
printf ( "%d\n" ,tetradecagonal_num(n));
return 0;
} // This code is contributed by kothavvsaakash. |
// Java Program to find nth // Tetradecagonal number import java.io.*;
class GFG
{ // Function to find // Tetradecagonal number static int tetradecagonal_num( int n)
{ // Formula to calculate nth
// tetradecagonal number=
return ( 12 * n * n - 10 * n) / 2 ;
} // Driver Code public static void main (String[] args)
{ int n = 2 ;
System.out.print(n + " th Tetradecagonal" +
" number: " );
System.out.println(tetradecagonal_num(n)); n = 6 ;
System.out.print(n + " th Tetradecagonal" +
" number: " );
System.out.print(tetradecagonal_num(n)); } } // This code is // contributed by m_kit |
# Program to find nth # Tetradecagonal number # Tetradecagonal number # number function def tetradecagonal_num(n) :
# Formula to calculate
# nth Tetradecagonal
# number return it
# into main function.
return ( 12 * n * n -
10 * n) / / 2
# Driver Code if __name__ = = '__main__' :
n = 2
print (n, "th Tetradecagonal " +
"number : " ,
tetradecagonal_num(n))
n = 6
print (n, "th Tetradecagonal " +
"number : " ,
tetradecagonal_num(n))
# This code is contributed ajit |
// C# Program to find nth // Tetradecagonal number using System;
class GFG
{ // Function to find
// Tetradecagonal number
static int tetradecagonal_num( int n)
{
// Formula to calculate nth
// tetradecagonal number
return (12 * n * n -
10 * n) / 2;
}
// Driver Code static public void Main ()
{ int n = 2;
Console.Write(n + "th Tetradecagonal" +
" number: " );
Console.WriteLine(tetradecagonal_num(n));
n = 6;
Console.Write(n + "th Tetradecagonal" +
" number: " );
Console.WriteLine(tetradecagonal_num(n));
} } // This code is contributed by ajit |
<?php // Program to find nth // Tetradecagonal number // Function to find // Tetradecagonal number function tetradecagonal_num( $n )
{ // Formula to calculate nth
// tetradecagonal number=
return (12 * $n * $n - 10 * $n ) / 2;
} // Driver Code $n = 2;
echo $n , " th Tetradecagonal number: " ;
echo tetradecagonal_num( $n ), "\n" ;
$n = 6;
echo $n , " th Tetradecagonal number: " ;
echo tetradecagonal_num( $n );
// This code is contributed by aj_36 ?> |
<script> // Javascript Program to find nth Tetradecagonal number
// Function to find
// Tetradecagonal number
function tetradecagonal_num(n)
{
// Formula to calculate nth
// tetradecagonal number
return (12 * n * n - 10 * n) / 2;
}
let n = 2;
document.write(n + "th Tetradecagonal number: " );
document.write(tetradecagonal_num(n) + "</br>" );
n = 6;
document.write(n + "th Tetradecagonal number: " );
document.write(tetradecagonal_num(n));
// This code is contributed by suresh07. </script> |
Output :
2 th Tetradecagonal number: 14 6 th Tetradecagonal number: 186
Time Complexity: O(1)
Auxiliary Space: O(1)
Reference:
https://en.wikipedia.org/wiki/Polygonal_number