Dado un número n, encuentra el n-ésimo Número Pentadecagonal Centrado.
Un número pentadecagonal centrado representa un punto en el centro y otros puntos que lo rodean en sucesivas capas pentadecagonales (polígono de 15 lados).
Ejemplos:
Input : 2 Output : 16 Input : 8 Output : 421
n-ésimo término del número pentadecagonal centrado: –
A continuación se muestra la implementación básica de la idea anterior.
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>
Producción :
3th number : 46 10th number : 676
Tiempo Complejidad: O(1)
Espacio Auxiliar: O(1)