Dado un número n, la tarea es encontrar el n-ésimo número heptadecagonal.
Un número heptadecagonal es una clase de números figurados. Tiene un polígono de diecisiete lados llamado heptadecágono. El n-ésimo número heptadecagonal cuenta el número diecisiete de puntos y todos los demás puntos están rodeados por una esquina compartida común y forman un patrón.
Ejemplos:
Entrada: 5
Salida: 155
Entrada: 9
Salida: 549
Fórmula para calcular el n-ésimo número heptadecagonal:
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>
Producción
3th Heptadecagonal number : 48 8th Heptadecagonal number : 428
Tiempo Complejidad: O(1)
Espacio Auxiliar: O(1)