六方四方数

给定数字N ，任务是找到^第N^个六边形四边形数字。

An Hexacontatetragon number is a class of figurate numbers. It has a 64-sided polygon called Hexacontatetragon. The N-th Hexacontatetragon number count’s the 64 number of dots and all other dots are surrounding with a common sharing corner and make a pattern. The first few Hexacontatetragonol numbers are 1, 64, 189, 376, 625, 936, … 
 

例子：

Input: N = 2 
Output: 64 
Explanation: 
The second Hexacontatetragonol number is 64. 
Input: N = 3 
Output: 189 
 

方法：第N个六边形四边形数由下式给出：

• 侧多边形的第N个项= $\frac{((s-2)n^2 - (s-4)n)}{2}$
• 因此64边多边形的Nth项是

$Tn =\frac{((64-2)n^2 - (64-4)n)}{2} =\frac{(62^2 - 60)}{2}$
 

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 Hexacontatetragon Number
int HexacontatetragonNum(int n)
{
    return (62 * n * n - 60 * n) / 2;
}
 
// Driver Code
int main()
{
    int n = 3;
    cout << HexacontatetragonNum(n);
 
    return 0;
}

Java

// Java program to find N-th
// Hexacontatetragon number
class GFG{
 
// Function to find the nth
// Hexacontatetragon number
static int HexacontatetragonNum(int n)
{
    return (62 * n * n - 60 * n) / 2;
}
 
// Driver code
public static void main(String[] args)
{
    int n = 3;
    System.out.print(HexacontatetragonNum(n));
}
}
 
// This code is contributed by shubham

Python3

# Python3 implementation for above approach
 
# Function to Find the
# Nth Hexacontatetragon Number
def HexacontatetragonNum(n):
 
    return (62 * n * n - 60 * n) / 2;
 
# Driver Code
n = 3;
print(HexacontatetragonNum(n));
 
# This code is contributed by Code_Mech

C#

// C# program to find N-th
// Hexacontatetragon number
using System;
class GFG{
 
// Function to find the nth
// Hexacontatetragon number
static int HexacontatetragonNum(int n)
{
    return (62 * n * n - 60 * n) / 2;
}
 
// Driver code
public static void Main()
{
    int n = 3;
    Console.Write(HexacontatetragonNum(n));
}
}
 
// This code is contributed by Code_Mech

Javascript

 
// Javascript program to find N-th
// Hexacontatetragon number
 
 
    // Function to find the nth
    // Hexacontatetragon number
    function HexacontatetragonNum( n) {
        return (62 * n * n - 60 * n) / 2;
    }
 
    // Driver code
      
        let n = 3;
        document.write(HexacontatetragonNum(n));
 
 
// This code contributed by aashish1995
 

输出：

189

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