中心十六角数-yiteyi-C++库

给定一个数字n，找到 N 居中十六角数。 A. 中心十六角数 在连续的十六角（16边多边形）层中，表示中心的一个点及其周围的其他点。

null

centerehexadecagonal number

前几个居中的十六进制数是： 1, 17, 49, 97, 161, 241, 337, 449, 577, 721, 881………………….

例如：

Input :  3Output : 49Input : 10Output : 721

推荐：请尝试你的方法 {IDE} 首先，在进入解决方案之前。

在数学中，以十六角数为中心的 第n位 术语由以下公式给出：

以下是上述理念的基本实现：

C++

                         // C++ Program to find                       
                         // nth centered hexadecagonal                       
                         // number                       
                         #include <bits/stdc++.h>                       
                         using                                     namespace                                     std;                       
           
                         // centered hexadecagonal function                       
                         int                                     center_hexadecagonal_num(                                     long                                     int                                     n)                       
                         {                       
                                                 // Formula to calculate nth                       
                                                 // centered hexadecagonal number                       
                                                 return                                     8 * n * n - 8 * n + 1;                       
                         }                       
           
                         // Driver Code                       
                         int                                     main()                       
                         {                       
                                                 long                                     int                                     n = 2;                       
                                                 cout << n <<                                     "th centered hexadecagonal number : "                       
                                                 << center_hexadecagonal_num(n);                       
                                                 cout << endl;                       
                                                 n = 12;                       
                                                 cout << n <<                                     "th centered hexadecagonal numbe : "                       
                                                 << center_hexadecagonal_num(n);                       
           
                                                 return                                     0;                       
                         }                       

JAVA

                         // Java Program to find nth                       
                         // centered hexadecagonal number                       
                         import                                     java.io.*;                       
           
                         class                                     GFG                       
                         {                       
                                                 // centered hexadecagonal function                       
                                                 static                                     int                                     center_hexadecagonal_num(                                     int                                     n)                       
                                                 {                       
                                                 // Formula to calculate nth                       
                                                 // centered hexadecagonal number                       
                                                 return                                     8                                     * n * n -                       
                                                 8                                     * n +                                     1                                     ;                       
                                                 }                       
                                   
                                                 // Driver Code                       
                                                 public                                     static                                     void                                     main(String args[])                       
                                                 {                       
                                                 int                                     n =                                     2                                     ;                       
                                                 System.out.print(n +                                     "th centered "                                     +                       
                                                 "hexadecagonal number: "                                     );                       
                                                 System.out.println(center_hexadecagonal_num(n));                       
                                   
                                                 n =                                     12                                     ;                       
                                                 System.out.print(n +                                     "th centered "                                     +                       
                                                 "hexadecagonal number: "                                     );                       
                                                 System.out.println(center_hexadecagonal_num(n));                       
                                                 }                       
                         }                       
           
                         // This code is contributed by ajit.                       

Python3

                         # Program to find nth                       
                         # centered hexadecagonal                       
                         # number                       
           
                         # centered hexadecagonal                       
                         # function                       
                         def                                     center_hexadecagonal_num(n):                       
                                   
                                                 # Formula to calculate                       
                                                 # nth centered hexadecagonal                       
                                                 # number                       
                                                 return                                     8                                     *                                     n                                     *                                     n                                     -                                     8                                     *                                     n                                     +                                     1                       
           
                         # Driver Code                       
                         if                                     __name__                                     =                                     =                                     '__main__'                                     :                       
                                   
                                                 n                                     =                                     2                       
                                                 print                                     (n,                                     "nd centered hexadecagonal "                                     +                       
                                                 "number : "                                     ,                       
                                                 center_hexadecagonal_num(n))                       
                                                 n                                     =                                     12                       
                                                 print                                     (n,                                     "th centered hexadecagonal "                                     +                       
                                                 "number : "                                     ,                       
                                                 center_hexadecagonal_num(n))                       
                                   
                         # This code is contributed                       
                         # by akt_mit                       

C#

                         // C# Program to find nth                       
                         // centered hexadecagonal number                       
                         using                                     System;                       
           
                         class                                     GFG                       
                         {                       
                                   
                                                 // centered hexadecagonal                       
                                                 // function                       
                                                 static                                     int                                     center_hexadecagonal_num(                                     int                                     n)                       
                                                 {                       
                                                 // Formula to calculate nth                       
                                                 // centered hexadecagonal number                       
                                                 return                                     8 * n * n -                       
                                                 8 * n + 1;                       
                                                 }                       
                                   
                                                 // Driver Code                       
                                                 static                                     public                                     void                                     Main ()                       
                                                 {                       
                                                 int                                     n = 2;                       
                                                 Console.Write(n +                                     "th centered "                                     +                       
                                                 "hexadecagonal number: "                                     );                       
                                                 Console.WriteLine(center_hexadecagonal_num(n));                       
                                   
                                                 n = 12;                       
                                                 Console.Write(n +                                     "th centered "                                     +                       
                                                 "hexadecagonal number: "                                     );                       
                                                 Console.WriteLine(center_hexadecagonal_num(n));                       
                                                 }                       
                         }                       
           
                         // This code is contributed by m_kit                       

PHP

                         <?php                       
                         // PHP Program to find                       
                         // nth centered hexadecagonal                       
                         // number                       
           
                         // centered hexadecagonal function                       
                         function                                     center_hexadecagonal_num(                                     $n                                     )                       
                         {                       
                                                 // Formula to calculate nth                       
                                                 // centered hexadecagonal number                       
                                                 return                                     8 *                                     $n                                     *                                     $n                                     - 8 *                                     $n                                     + 1;                       
                         }                       
           
                         // Driver Code                       
                         $n                                     = 2;                       
                         echo                                     $n                                     ,                                     "th centered hexadecagonal number : "                                     ,                       
                                                 center_hexadecagonal_num(                                     $n                                     );                       
                         echo                                     ""                                     ;                       
                         $n                                     = 12;                       
                         echo                                     $n                                     ,                                     "th centered hexadecagonal numbe : "                                     ,                       
                                                 center_hexadecagonal_num(                                     $n                                     );                       
           
                         // This code is contributed by ajit                       
                         ?>                       

Javascript

                         <script>                       
           
                         // Javascript Program to find nth                       
                         // centered hexadecagonal number                       
           
                         // Centered hexadecagonal function                       
                         function                                     center_hexadecagonal_num(n)                       
                         {                       
                                   
                                                 // Formula to calculate nth                       
                                                 // centered hexadecagonal number                       
                                                 return                                     8 * n * n - 8 * n + 1;                       
                         }                       
           
                         // Driver code                       
                         var                                     n = 2;                       
                         document.write(n +                                     "th centered "                                     +                       
                                                 "hexadecagonal number: "                                     );                       
                         document.write(center_hexadecagonal_num(n) +                                     "<br>"                                     );                       
           
                         n = 12;                       
                         document.write(n +                                     "th centered "                                     +                       
                                                 "hexadecagonal number: "                                     );                       
                         document.write(center_hexadecagonal_num(n));                       
           
           
                         // This code is contributed by Ankita saini                       
           
                         </script>                       

输出：

2th centered hexadecagonal number : 1712th centered hexadecagonal numbe : 1057

时间复杂性： O（1） 辅助空间： O（1）

参考资料： http://oeis.org/A069129

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