Centered Pentadecagonal Number
Given a number n, find the nth Centered Pentadecagonal Number .
A Centered Pentadecagonal Number represents a dot in the center and other dots surrounding it in successive pentadecagonal(15-sided polygon) layers.
Examples :
Input : 2 Output : 16 Input : 8 Output : 421
n-th term of Centered pentadecagonal number:-
Below is the basic implementation of the above idea.
C++
// C++ Program to find // nth centered // pentadecagonal number #include <bits/stdc++.h> using namespace std; // centered pentadecagonal function int center_pentadecagonal_num( long int n) { // Formula to calculate nth // centered pentadecagonal number return (15 * n * n - 15 * n + 2) / 2; } // Driver Code int main() { long int n = 3; cout << n << "th number : " << center_pentadecagonal_num(n); cout << endl; n = 10; cout << n << "th number : " << center_pentadecagonal_num(n); return 0; } |
C
// C Program to find // nth centered // pentadecagonal number #include <stdio.h> // centered pentadecagonal function int center_pentadecagonal_num( long int n) { // Formula to calculate nth // centered pentadecagonal number return (15 * n * n - 15 * n + 2) / 2; } // Driver Code int main() { long int n = 3; printf ( "%ldth number : %d\n" ,n,center_pentadecagonal_num(n)); n = 10; printf ( "%ldth number : %d\n" ,n,center_pentadecagonal_num(n)); return 0; } // This code is contributed by kothavvsaakash. |
Java
// Java Program to find nth centered // pentadecagonal number import java.io.*; class GFG { // centered pentadecagonal function static long center_pentadecagonal_num( long n) { // Formula to calculate nth // centered pentadecagonal number return ( 15 * n * n - 15 * n + 2 ) / 2 ; } // Driver Code public static void main (String[] args) { long n = 3 ; System.out.print(n + "th number : " ); System.out.println( center_pentadecagonal_num(n)); n = 10 ; System.out.print( n + "th number : " ); System.out.println( center_pentadecagonal_num(n)); } } // This code is contributed by ajit. |
Python3
# Program to find nth #centered pentadecagonal number def center_pentadecagonal_num(n) : # Formula to calculate nth # centered pentadecagonal number return ( 15 * n * n - 15 * n + 2 ) / / 2 # Driver Code if __name__ = = '__main__' : n = 3 print (n, "rd number : " , center_pentadecagonal_num(n)) n = 10 print (n, "th number : " , center_pentadecagonal_num(n)) # This code is contributed by m_kit |
C#
// C# Program to find // nth centered // pentadecagonal number using System; class GFG { // centered // pentadecagonal function static long center_pentadecagonal_num( long n) { // Formula to calculate // nth centered // pentadecagonal number return (15 * n * n - 15 * n + 2) / 2; } // Driver Code static public void Main () { long n = 3; Console.Write(n + "th number : " ); Console.WriteLine( center_pentadecagonal_num(n)); n = 10; Console.Write( n + "th number : " ); Console.WriteLine( center_pentadecagonal_num(n)); } } // This code is contributed by ajit. |
PHP
<?php // PHP Program to find // nth centered // pentadecagonal number // centered pentadecagonal function function center_pentadecagonal_num( $n ) { // Formula to calculate nth // centered pentadecagonal number return (15 * $n * $n - 15 * $n + 2) / 2; } // Driver Code $n = 3; echo $n , "th number : " , center_pentadecagonal_num( $n ); echo "\n" ; $n = 10; echo $n , "th number : " , center_pentadecagonal_num( $n ); // This code is contributed by m_kit ?> |
Javascript
<script> // Javascript program to find nth centered // pentadecagonal number // centered pentadecagonal function function center_pentadecagonal_num(n) { // Formula to calculate nth // centered pentadecagonal number return (15 * n * n - 15 * n + 2) / 2; } // Driver Code var n = 3; document.write(n + "th number : " ); document.write(center_pentadecagonal_num(n) + "<br>" ); n = 10; document.write( n + "th number : " ); document.write(center_pentadecagonal_num(n)); // This code is contributed by Kirti </script> |
Output :
3th number : 46 10th number : 676
Time Complexity: O(1)
Auxiliary Space: O(1)