Given a number n, the task is to find n-th dodecahedral number.
A dodecahedral number belongs to a figurate number and represents it dodecahedron.
First few Dodecahedral number (where n = 0, 1, 2, 3…….) are : 0, 1, 20, 84 and so on.
Examples :
Input : 2 Output : 20 Input :8 Output :2024
Mathematics formula for nth dodecahedral number:
C++
// C++ program to find nth// dodecahedral number#include <bits/stdc++.h>using namespace std;// Function to find// dodecahedral numberint dodecahedral_num(int n){ // Formula to calculate nth // dodecahedral number // and return it into main function. return n * (3 * n - 1) * (3 * n - 2) / 2;}// Driver Codeint main(){ int n = 5; // print result cout << n << "th Dodecahedral number: "; cout << dodecahedral_num(n); return 0;} |
C
// C program to find nth// dodecahedral number#include <stdio.h>// Function to find// dodecahedral numberint dodecahedral_num(int n){ // Formula to calculate nth // dodecahedral number // and return it into main function. return n * (3 * n - 1) * (3 * n - 2) / 2;}// Driver Codeint main(){ int n = 5; // print result printf("%dth Dodecahedral number: ",n); printf("%d",dodecahedral_num(n)); return 0;}// This code is contributed by kothavvsaakash. |
Java
// Java program to find nth dodecahedral // numberimport java.io.*;class GFG { // Function to find dodecahedral number static int dodecahedral_num(int n) { // Formula to calculate nth // dodecahedral number // and return it into main function. return n * (3 * n - 1) * (3 * n - 2) / 2; } // Driver Code public static void main (String[] args) { int n = 5; // print result System.out.print( n + "the Dodecahedral" + " number:"); System.out.println( dodecahedral_num(n)); }}// This code is contributed by anuj_67. |
Python3
# Python3 program to find# nth dodecahedral number# Function to calculate# dodecahedral numberdef dodecahedral_num(n): # Formula to calculate nth # dodecahedral number return n * (3 * n - 1) * (3 * n - 2) // 2# Driver Coden = 5print("%sth Dodecahedral number :" %n, dodecahedral_num(n)) # This code is contributed by ajit. |
C#
// C# program to find nth dodecahedral // numberusing System;class GFG { // Function to find dodecahedral number static int dodecahedral_num(int n) { // Formula to calculate nth // dodecahedral number // and return it into main function. return n * (3 * n - 1) * (3 * n - 2) / 2; } // Driver Code public static void Main () { int n = 5; // print result Console.Write( n + "the Dodecahedral" + " number:"); Console.WriteLine( dodecahedral_num(n)); }}// This code is contributed by anuj_67. |
PHP
<?php// PHP program to find nth// dodecahedral number// Function to find// dodecahedral numberfunction dodecahedral_num( $n){ // Formula to calculate nth // dodecahedral number // and return it into main function. return $n * (3 * $n - 1) * (3 * $n - 2) / 2;}// Drivers Code$n = 5;// print resultecho $n, "th Dodecahedral number: ";echo dodecahedral_num($n);// This code is contributed by vt_m?> |
Javascript
<script>// Javascript program to find nth dodecahedral // number// Function to find dodecahedral numberfunction dodecahedral_num(n){ // Formula to calculate nth // dodecahedral number and // return it into main function. return n * (3 * n - 1) * (3 * n - 2) / 2;}// Driver codevar n = 5;// print resultdocument.write(n + "th Dodecahedral" + " number:");document.write(dodecahedral_num(n));// This code is contributed by Khushboogoyal499</script> |
Output :
5th Dodecahedral number: 455
Time Complexity: O(1)
Auxiliary Space: O(1)
Reference: https://en.wikipedia.org/wiki/Dodecahedral_number
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