# Tetradecagonal number

Given a number n, the task is to find the nth tetradecagonal number. A tetradecagonal number is 14-sided polygon called tetrakaidecagon or tetradecagon and belongs to the figurative number. The nth tetradecagonal number doted with some dots and create a series of the pattern. They have a common sharing corner point and doted with their spaces to each other. The dots continue with nth nested loop.

**Examples :**

Input : 5

Output :125

Input :7

Output :259

Formula for nth tetradecagonal number :-

## C++

`// Program to find nth ` `// Tetradecagonal number ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `// Function to find ` `// Tetradecagonal number ` `int` `tetradecagonal_num(` `int` `n) ` `{ ` ` ` `// Formula to calculate nth ` ` ` `// tetradecagonal number= ` ` ` `return` `(12 * n * n - 10 * n) / 2; ` `} ` ` ` `// Driver Code ` `int` `main() ` `{ ` ` ` `int` `n = 2; ` ` ` `cout << n << ` `" th Tetradecagonal number: "` `; ` ` ` `cout << tetradecagonal_num(n); ` ` ` `cout << endl; ` ` ` `n = 6; ` ` ` `cout << n << ` `" th Tetradecagonal number: "` `; ` ` ` `cout << tetradecagonal_num(n); ` ` ` ` ` `return` `0; ` `} ` |

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## Java

`// Java Program to find nth ` `// Tetradecagonal number ` `import` `java.io.*; ` ` ` `class` `GFG ` `{ ` ` ` `// Function to find ` `// Tetradecagonal number ` `static` `int` `tetradecagonal_num(` `int` `n) ` `{ ` ` ` `// Formula to calculate nth ` ` ` `// tetradecagonal number= ` ` ` `return` `(` `12` `* n * n - ` `10` `* n) / ` `2` `; ` `} ` ` ` `// Driver Code ` `public` `static` `void` `main (String[] args) ` `{ ` `int` `n = ` `2` `; ` `System.out.print(n + ` `" th Tetradecagonal"` `+ ` ` ` `" number: "` `); ` `System.out.println(tetradecagonal_num(n)); ` ` ` `n = ` `6` `; ` `System.out.print(n + ` `" th Tetradecagonal"` `+ ` ` ` `" number: "` `); ` `System.out.print(tetradecagonal_num(n)); ` ` ` `} ` `} ` `// This code is code is ` `// contributed by m_kit ` |

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## Python 3

`# Program to find nth ` `# Tetradecagonal number ` ` ` `# Tetradecagonal number ` `# number function ` `def` `tetradecagonal_num(n) : ` ` ` ` ` `# Formula to calculate ` ` ` `# nth Tetradecagonal ` ` ` `# number return it ` ` ` `# into main function. ` ` ` `return` `(` `12` `*` `n ` `*` `n ` `-` ` ` `10` `*` `n) ` `/` `/` `2` ` ` `# Driver Code ` `if` `__name__ ` `=` `=` `'__main__'` `: ` ` ` ` ` `n ` `=` `2` ` ` `print` `(n,` `"th Tetradecagonal "` `+` ` ` `"number : "` `, ` ` ` `tetradecagonal_num(n)) ` ` ` ` ` `n ` `=` `6` ` ` `print` `(n,` `"th Tetradecagonal "` `+` ` ` `"number : "` `, ` ` ` `tetradecagonal_num(n)) ` ` ` `# This code is contributed ajit ` |

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## C#

`// C# Program to find nth ` `// Tetradecagonal number ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` ` ` `// Function to find ` ` ` `// Tetradecagonal number ` ` ` `static` `int` `tetradecagonal_num(` `int` `n) ` ` ` `{ ` ` ` ` ` `// Formula to calculate nth ` ` ` `// tetradecagonal number ` ` ` `return` `(12 * n * n - ` ` ` `10 * n) / 2; ` ` ` `} ` ` ` `// Driver Code ` `static` `public` `void` `Main () ` `{ ` ` ` `int` `n = 2; ` ` ` `Console.Write(n + ` `"th Tetradecagonal"` `+ ` ` ` `" number: "` `); ` ` ` `Console.WriteLine(tetradecagonal_num(n)); ` ` ` ` ` `n = 6; ` ` ` `Console.Write(n + ` `"th Tetradecagonal"` `+ ` ` ` `" number: "` `); ` ` ` `Console.WriteLine(tetradecagonal_num(n)); ` `} ` `} ` ` ` `// This code is contributed by ajit ` |

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## PHP

`<?php ` `// Program to find nth ` `// Tetradecagonal number ` ` ` `// Function to find ` `// Tetradecagonal number ` `function` `tetradecagonal_num(` `$n` `) ` `{ ` ` ` `// Formula to calculate nth ` ` ` `// tetradecagonal number= ` ` ` `return` `(12 * ` `$n` `* ` `$n` `- 10 * ` `$n` `) / 2; ` `} ` ` ` `// Driver Code ` `$n` `= 2; ` `echo` `$n` `, ` `" th Tetradecagonal number: "` `; ` `echo` `tetradecagonal_num(` `$n` `), ` `"\n"` `; ` ` ` `$n` `= 6; ` `echo` `$n` `,` `" th Tetradecagonal number: "` `; ` `echo` `tetradecagonal_num(` `$n` `); ` ` ` `// This code is contributed by aj_36 ` `?> ` |

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**Output :**

2 th Tetradecagonal number: 14 6 th Tetradecagonal number: 186

Reference:

https://en.wikipedia.org/wiki/Polygonal_number

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