Heptadecagonal number
Given a number n, the task is to find the nth heptadecagonal number .
A heptadecagonal number is a class of figurate numbers. It has a seventeen-sided polygon called heptadecagon. The n-th heptadecagonal number count’s the seventeen number of dots and all other dots are surrounding with a common sharing corner and make a pattern.
Examples:
Input : 5
Output :155
Input :9
Output :549
Formula to calculate nth heptadecagonal number:
C++
// C++ program to find Nth // heptadecagonal number #include <iostream> using namespace std; // Function to calculate heptadecagonal // number int heptadecagonalNum( long int n) { return ((15 * n * n) - 13 * n) / 2; } // Driver Code int main() { long int n = 3; cout << n << "th Heptadecagonal number : " ; cout << heptadecagonalNum(n); cout << endl; n = 8; cout << n << "th Heptadecagonal number : " ; cout << heptadecagonalNum(n); return 0; } |
C
// C program to find Nth // heptadecagonal number #include <stdio.h> // Function to calculate heptadecagonal // number int heptadecagonalNum( long int n) { return ((15 * n * n) - 13 * n) / 2; } // Driver Code int main() { long int n = 3; printf ( "%ldth Heptadecagonal number : " ,n); printf ( "%d\n" ,heptadecagonalNum(n)); n = 8; printf ( "%ldth Heptadecagonal number : " ,n); printf ( "%d\n" ,heptadecagonalNum(n)); return 0; } // This code is contributed by kothavvsaakash |
Java
// Java program to find Nth heptadecagonal number import java.io.*; class GFG { // Function to calculate heptadecagonal // number static long heptadecagonalNum( long n) { return (( 15 * n * n) - 13 * n) / 2 ; } // Driver Code public static void main (String[] args) { long n = 3 ; System.out.print( n + "th Heptadecagonal" + " number : " ); System.out.println( heptadecagonalNum(n)); n = 8 ; System.out.print( n + "th Heptadecagonal" + " number : " ); System.out.print( heptadecagonalNum(n)); } } // This code is contributed by anuj_67. |
Python3
# Python program to find Nth # heptadecagonal number # Function to calculate # heptadecagonal number def heptadecagonalNum(n): # Formula to calculate nth # heptadecagonal number return (( 15 * n * n) - 13 * n) / / 2 # Driver Code n = 3 print ( "%sth Heptadecagonal number : " % n, heptadecagonalNum(n)) n = 8 print ( "%sth Heptadecagonal number: " % n, heptadecagonalNum(n)) # This code is contributed by ajit |
C#
// C# program to find Nth // heptadecagonal number using System; class GFG { // Function to calculate // heptadecagonal number static long heptadecagonalNum( long n) { return ((15 * n * n) - 13 * n) / 2; } // Driver Code public static void Main () { long n = 3; Console.Write( n + "th Heptadecagonal" + " number : " ); Console.WriteLine( heptadecagonalNum(n)); n = 8; Console.Write( n + "th Heptadecagonal" + " number : " ); Console.WriteLine( heptadecagonalNum(n)); } } // This code is contributed by anuj_67. |
PHP
<?php // PHP program to find Nth // heptadecagonal number // Function to calculate heptadecagonal // number function heptadecagonalNum( $n ) { return ((15 * $n * $n ) - 13 * $n ) / 2; } // Driver Code $n = 3; echo $n , "th Heptadecagonal number : " ; echo heptadecagonalNum( $n ); echo "\n" ; $n = 8; echo $n , "th Heptadecagonal number : " ; echo heptadecagonalNum( $n ); // This code is contributed by anuj_67. ?> |
Javascript
<script> // Javascript program to find Nth heptadecagonal number // Function to calculate // heptadecagonal number function heptadecagonalNum(n) { return ((15 * n * n) - 13 * n) / 2; } let n = 3; document.write( n + "th Heptadecagonal" + " number : " ); document.write( heptadecagonalNum(n) + "</br>" ); n = 8; document.write( n + "th Heptadecagonal" + " number : " ); document.write( heptadecagonalNum(n)); </script> |
Output
3th Heptadecagonal number : 48 8th Heptadecagonal number : 428
Time Complexity: O(1)
Auxiliary Space: O(1)