Given a number n, the task is to find the nth hexadecagonal number.
A Hexadecagonal number is class of figurate number and a perfect squares. It has sixteen sided polygon called hexadecagon or hexakaidecagon. The n-th hexadecagonal number count’s the sixteen number of dots and all others dots are surrounding to its successive layer.
Examples :
Input : 2
Output :16
Input :7
Output :301
Formula to calculate hexadecagonal number:
C++
// C++ program to find Nth// hexadecagon number#include <bits/stdc++.h>using namespace std;// Function to calculate hexadecagonal numberint hexadecagonalNum(long int n){ return ((14 * n * n) - 12 * n) / 2;}// Drivers Codeint main(){ long int n = 5; cout << n << "th Hexadecagonal number : "; cout << hexadecagonalNum(n); cout << endl; n = 9; cout << n << "th Hexadecagonal number : "; cout << hexadecagonalNum(n); return 0;} |
C
// C program to find Nth// hexadecagon number#include <stdio.h>// Function to calculate hexadecagonal numberint hexadecagonalNum(long int n){ return ((14 * n * n) - 12 * n) / 2;}// Drivers Codeint main(){ long int n = 5; printf("%ldth Hexadecagonal number : ",n); printf("%d\n",hexadecagonalNum(n)); n = 9; printf("%ldth Hexadecagonal number : ",n); printf("%d\n",hexadecagonalNum(n)); return 0;}// This code is contributed by kothavvsaakash |
Java
// Java program to find Nth hexadecagon// numberimport java.io.*;class GFG { // Function to calculate hexadecagonal // number static long hexadecagonalNum(long n) { return ((14 * n * n) - 12 * n) / 2; } // Drivers Code public static void main (String[] args) { long n = 5; System.out.println( n + "th " + "Hexadecagonal number : " + hexadecagonalNum(n)); n = 9; System.out.println( n + "th " + "Hexadecagonal number : " + hexadecagonalNum(n)); }}// This code contributed by anuj_67. |
Python3
# Python program to find Nth# hexadecagon number# Function to calculate# hexadecagonal numberdef hexadecagonalNum(n): # Formula to calculate nth # Centered hexadecagonal number return ((14 * n * n) - 12 * n) // 2# Driver Coden = 5print("%sth Hexadecagonal number : " %n, hexadecagonalNum(n))n = 9print("%sth Hexadecagonal number : " %n, hexadecagonalNum(n)) # This code is contributed by ajit |
C#
// C# program to find Nth hexadecagon// numberusing System;class GFG { // Function to calculate hexadecagonal // number static long hexadecagonalNum(long n) { return ((14 * n * n) - 12 * n) / 2; } // Drivers Code public static void Main () { long n = 5; Console.WriteLine( n + "th " + "Hexadecagonal number : " + hexadecagonalNum(n)); n = 9; Console.WriteLine( n + "th " + "Hexadecagonal number : " + hexadecagonalNum(n)); }}// This code contributed by anuj_67. |
PHP
<?php// PHP program to find Nth// hexadecagon number// Function to calculate // hexadecagonal numberfunction hexadecagonalNum($n){ return ((14 * $n * $n) - 12 * $n) / 2;}// Driver Code$n = 5;echo $n , "th Hexadecagonal number : ";echo hexadecagonalNum($n);echo "\n";$n = 9;echo $n , "th Hexadecagonal number : ";echo hexadecagonalNum($n);// This code is contributed by m_kit?> |
Javascript
<script>// Javascript program to find Nth hexadecagon// number// Function to calculate hexadecagonal// numberfunction hexadecagonalNum(n){ return ((14 * n * n) - 12 * n) / 2;}// Driver codevar n = 5;document.write(n + "th " + "Hexadecagonal number : " + hexadecagonalNum(n) + "<br>"); n = 9;document.write(n + "th " + "Hexadecagonal number : " + hexadecagonalNum(n));// This code is contributed by Khushboogoyal499</script> |
Output :
5th Hexadecagonal number : 145 9th Hexadecagonal number : 513
Time Complexity: O(1)
Auxiliary Space: O(1)
Reference: https://en.wikipedia.org/wiki/Polygonal_number
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