Tetradecagonal number
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 :-
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; } |
C
// 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
// 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 |
Python3
# 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