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Tetradecagonal number

  • Last Updated : 20 Jul, 2021
Geek Week

Given a number n, the task is to find the nth tetradecagonal number. A tetradecagonal number is 14-sided polygon called tetrakaidecagon or tetradecagon and belongs to the figurative number. The nth tetradecagonal number doted with some dots and create a series of the pattern. They have a common sharing corner point and doted with their spaces to each other. The dots continue with nth nested loop. 
Examples : 
 

Input : 5 
Output :125
Input :7 
Output :259 
 

 

img source

Formula for nth tetradecagonal number :- 
 



\begin{math}  Td_{n}=((12n^2)-10n)/2 \end{math}

 

C++




// 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;
}

Java




// 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 code is
// contributed by m_kit

Python 3




# 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#




// 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




<?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
?>

Javascript




<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
 

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