Dado un número n , la tarea es encontrar el n -ésimo número heptagonal centrado.
El número heptagonal centrado es un número de figura centrado que representa un heptágono con un punto en el centro y todos los demás puntos que lo rodean en forma heptagonal. El N número heptagonal centrado puede calcularse usando la fórmula (7n 2 – 7n + 2) / 2 .
Ejemplos:
Input : n = 2 Output : 8 Input : n = 7 Output : 148
Consulte este diagrama para ver la representación pictórica.
A continuación se muestra la implementación:
C++
// CPP program to find n-th
// Centered heptagonal number
#include <bits/stdc++.h>
using namespace std;
// Function to find Centered
// heptagonal number
int centered_heptagonal_num(long int n)
{
// Formula to calculate nth
// Centered heptagonal number
return (7 * n * n - 7 * n + 2) / 2;
}
// Driver Code
int 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 number
int centered_heptagonal_num(long int n)
{
// Formula to calculate nth
// Centered heptagonal number
return (7 * n * n - 7 * n + 2) / 2;
}
// Driver Code
int 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 number
import 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 number
def centered_heptagonal_num(n):
# Formula to calculate nth
# Centered heptagonal number
return (7 * n * n - 7 * n + 2) // 2
# Driver Code
n = 5
print("%sth Centered heptagonal number : " %n,
centered_heptagonal_num(n))
C#
//C# program to find n-th Centered
// heptagonal number
using 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 number
function 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 number
function centered_heptagonal_num(n)
{
// Formula to calculate nth
// Centered heptagonal number
return parseInt((7 * n * n - 7 * n + 2) / 2);
}
// Driver Code
let n = 5;
document.write(n + "th Centered heptagonal number : ");
document.write(centered_heptagonal_num(n));
// This code is contributed by rishavmahato348.
</script>
Producción :
5th Centered heptagonal number : 71
Tiempo Complejidad: O(1)
Espacio Auxiliar: O(1)