Given a number n, the task is to find nth Centered heptagonal number.
Centered heptagonal number is centered figure number that represents a heptagon with dot in center and all other dot surrounding in heptagonal form. Nth centered heptagonal number can be calculated by using formula (7n2 – 7n + 2) / 2.
Examples :
Input : n = 2 Output : 8 Input : n = 7 Output : 148
Please refer this diagram for pictorial representation.
Below is the implementation :
C++
// CPP program to find n-th// Centered heptagonal number#include <bits/stdc++.h>using namespace std;// Function to find Centered// heptagonal numberint centered_heptagonal_num(long int n){ // Formula to calculate nth // Centered heptagonal number return (7 * n * n - 7 * n + 2) / 2;}// Driver Codeint main(){ long int n = 5; cout << n << "th Centered heptagonal number : "; cout << centered_heptagonal_num(n); return 0;} |
C
// C program to find n-th// Centered heptagonal number#include <stdio.h>// Function to find Centered// heptagonal numberint centered_heptagonal_num(long int n){ // Formula to calculate nth // Centered heptagonal number return (7 * n * n - 7 * n + 2) / 2;}// Driver Codeint main(){ long int n = 5; printf("%ldth Centered heptagonal number : ",n); printf("%d",centered_heptagonal_num(n)); return 0;}// This code is contributed by kothavvsaakash. |
Java
// Java program to find n-th Centered// heptagonal numberimport java.io.*;class GFG { // Function to find Centered heptagonal // number static long centered_heptagonal_num(long n) { // Formula to calculate nth // Centered heptagonal number return (7 * n * n - 7 * n + 2) / 2; } // Driver Code public static void main (String[] args) { long n = 5; System.out.println( n + "th Centered " + "heptagonal number : " + centered_heptagonal_num(n)); }}// This code is contributed by anuj_67. |
Python3
# Python program to find nth# Centered heptagonal number# Function to find Centered# heptagonal numberdef centered_heptagonal_num(n): # Formula to calculate nth # Centered heptagonal number return (7 * n * n - 7 * n + 2) // 2# Driver Coden = 5print("%sth Centered heptagonal number : " %n, centered_heptagonal_num(n)) |
C#
//C# program to find n-th Centered// heptagonal numberusing System;class GFG { // Function to find Centered heptagonal // number static long centered_heptagonal_num(long n) { // Formula to calculate nth // Centered heptagonal number return (7 * n * n - 7 * n + 2) / 2; } // Driver Code public static void Main () { long n = 5; Console.WriteLine( n + "th Centered " + "heptagonal number : " + centered_heptagonal_num(n)); }}// This code is contributed by anuj_67. |
PHP
<?php// PHP program to find n-th// Centered heptagonal number// Function to find Centered// heptagonal numberfunction centered_heptagonal_num($n){ // Formula to calculate nth // Centered heptagonal number return (7 * $n * $n - 7 * $n + 2) / 2;}// Driver Code$n = 5;echo $n ,"th Centered heptagonal number : ";echo centered_heptagonal_num($n);// This code is contributed by m_kit?> |
Javascript
<script>// Javascript program to find n-th// Centered heptagonal number// Function to find Centered// heptagonal numberfunction centered_heptagonal_num(n){ // Formula to calculate nth // Centered heptagonal number return parseInt((7 * n * n - 7 * n + 2) / 2);}// Driver Codelet n = 5;document.write(n + "th Centered heptagonal number : ");document.write(centered_heptagonal_num(n));// This code is contributed by rishavmahato348.</script> |
Output :
5th Centered heptagonal number : 71
Time Complexity: O(1)
Auxiliary Space: O(1)
Feeling lost in the world of random DSA topics, wasting time without progress? It’s time for a change! Join our DSA course, where we’ll guide you on an exciting journey to master DSA efficiently and on schedule.
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!
