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# Find the Nth Hogben Numbers

Given a number N, the task is to print the Nth Hogben number.

Hogben Number: In a spiral arrangement of the integers, Hogben Numbers appear on the main diagonal (see the picture below).

The first few Hogben numbers are 1, 3, 7, 13, 21, 31, 43, 57, 73, 91, 111, 133, 157, 183, 211, 241, 273……. and many more.

Example:

Input: N = 4
Output:
Explanation:
The 4th Hogben number that lies on the diagonal of the spiral pattern is 13.

Input: N = 7
Output: 43
Explanation:
The 7th Hogben number that lies on the diagonal of the spiral pattern is 43.

Approach:
We can observe from the sequence of Hogben numbers, that the Nth Hogben number HN is equal to .

Below is the implementation of the above approach.

## C++

 `// C++ program to print``// N-th Hogben Number` `#include ``using` `namespace` `std;` `// Function returns N-th``// Hogben Number``int` `HogbenNumber(``int` `a)``{``    ``int` `p = (``pow``(a, 2) - a + 1);``    ``return` `p;``}` `// Driver code``int` `main()``{``    ``int` `N = 10;` `    ``cout << HogbenNumber(N);` `    ``return` `0;``}`

## Java

 `// Java program to print``// N-th Hogben Number``import` `java.util.*;` `class` `GFG{``    ` `// Function returns N-th``// Hogben Number``public` `static` `int` `HogbenNumber(``int` `a)``{``    ``int` `p = (``int``)(Math.pow(a, ``2``) - a + ``1``);``    ``return` `p;``}` `// Driver code``public` `static` `void` `main(String args[])``{``    ``int` `N = ``10``;` `    ``System.out.print(HogbenNumber(N));``}``}` `// This code is contributed by Akanksha_Rai`

## Python3

 `# Python3 program to print``# N-th Hogben Number` `# Function returns N-th``# Hogben Number``def` `HogbenNumber(a):``    ` `    ``p ``=` `(``pow``(a, ``2``) ``-` `a ``+` `1``)``    ``return` `p` `# Driver code``N ``=` `10` `print``(HogbenNumber(N))` `# This code is contributed by shubhamsingh10`

## C#

 `// C# program to print``// N-th Hogben Number``using` `System;``class` `GFG{``    ` `// Function returns N-th``// Hogben Number``public` `static` `int` `HogbenNumber(``int` `a)``{``    ``int` `p = (``int``)(Math.Pow(a, 2) - a + 1);``    ``return` `p;``}` `// Driver code``public` `static` `void` `Main()``{``    ``int` `N = 10;` `    ``Console.Write(HogbenNumber(N));``}``}` `// This code is contributed by Code_Mech`

## Javascript

 ``

Output:

`91`

Time complexity: O(1)
Auxiliary Space: O(1)

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