七角形六边形数

给定数字N ，任务是找到^第N^个Enneacontahexagon数。

An Enneacontahexagon number is a class of figurate numbers. It has a 96-sided polygon called Enneacontahexagon. The N-th Enneacontahexagon number count’s the 96 number of dots and all other dots are surrounding with a common sharing corner and make a pattern. The first few Enneacontahexagonol numbers are 1, 96, 285, 568, 945, 1416, … 
 

例子：

Input: N = 2 
Output: 96 
Explanation: 
The second Enneacontahexagonol number is 96. 
Input: N = 3 
Output: 285 
 

方法：第N个角膜六边形数由下式给出：

• 侧多边形的第N个项= $\frac{((s-2)n^2 - (s-4)n)}{2}$
• 因此96边多边形的Nth项是

$Tn =\frac{((96-2)n^2 - (96-4)n)}{2} =\frac{(94^2 - 92)}{2}$
 

下面是上述方法的实现：

C++

// C++ implementation for
// above approach
#include 
using namespace std;
 
// Function to find the Nth
// Enneacontahexagon Number
int EnneacontahexagonNum(int n)
{
    return (94 * n * n - 92 * n) / 2;
}
 
// Driver Code
int main()
{
    int n = 3;
    cout << EnneacontahexagonNum(n);
 
    return 0;
}

Java

// Java program to find N-th
// Enneacontahexagon Number
class GFG{
 
// Function to find the nth
// Enneacontahexagon Number
static int enneacontahexagonNum(int n)
{
    return (94 * n * n - 92 * n) / 2;
}
 
// Driver code
public static void main(String[] args)
{
    int n = 3;
    System.out.print(enneacontahexagonNum(n));
}
}
 
// This code is contributed by shubham

Python3

# Python3 implementation for
# above approach
 
# Function to find the Nth
# Enneacontahexagon Number
def EnneacontahexagonNum(n):
 
    return (94 * n * n - 92 * n) // 2;
 
# Driver Code
n = 3;
print(EnneacontahexagonNum(n));
 
# This code is contributed by Code_Mech

C#

// C# program to find N-th
// Enneacontahexagon Number
using System;
class GFG{
 
// Function to find the nth
// Enneacontahexagon Number
static int enneacontahexagonNum(int n)
{
    return (94 * n * n - 92 * n) / 2;
}
 
// Driver code
public static void Main()
{
    int n = 3;
    Console.Write(enneacontahexagonNum(n));
}
}
 
// This code is contributed by Code_Mech

Javascript

 
// Javascript program to find N-th
// Enneacontahexagon Number
 
 
    // Function to find the nth
    // Enneacontahexagon Number
    function EnneacontahexagonNum( n) {
        return (94 * n * n - 92 * n) / 2;
    }
 
    // Driver code
      
        let n = 3;
        document.write(EnneacontahexagonNum(n));
 
 
// This code contributed by aashish1995
 

输出：

285

参考： https : //en.wikipedia.org/wiki/Enneacontahexagon