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# Program for centered nonagonal number

Centered nonagonal number is a centered figurate number that represents a nonagon with a dot in the center and all other dots surrounding to the center dot in successive nonagonal layers.
The centered nonagonal number for n is given by
Centered nonagonal number = (3 * n – 2) * (3 * n – 1) / 2;
https://en.wikipedia.org/wiki/Centered_nonagonal_number
Examples :

```Input : n = 10
Output : 406

Input : n = 8
Output : 253```

## C++

 `// CPP Program to find``// nth centered nonagonal number.``#include ``using` `namespace` `std;`` ` `// Function to find nth``// centered nonagonal number.``int` `centeredNonagonal(``int` `n)``{``    ``// Formula to find nth centered``    ``// nonagonal number.``    ``return` `(3 * n - 2) * (3 * n - 1) / 2;``}`` ` `// Driver function.``int` `main()``{``    ``int` `n = 10;``    ``cout << centeredNonagonal(n);``    ``return` `0;``}`

## Java

 `// Java Program to find``// nth centered nonagonal number.``import` `java.io.*;`` ` `class` `GFG {``     ` `    ``// Function to find nth``    ``// centered nonagonal number.``    ``static` `int` `centeredNonagonal(``int` `n)``    ``{``        ``// Formula to find nth centered``        ``// nonagonal number.``        ``return` `(``3` `* n - ``2``) * (``3` `* n - ``1``) / ``2``;``    ``}``     ` `    ``// Driver function.``    ``public` `static` `void` `main(String args[])``    ``{``        ``int` `n = ``10``;``        ``System.out.println(centeredNonagonal(n));``    ``}``}`` ` `// This code is contributed by Nikita Tiwari.`

## Python3

 `# Python 3 Program to find``# nth centered nonagonal number.`` ` `# Function to find nth``# centered nonagonal number``def` `centeredNonagonal(n) :``     ` `    ``# Formula to find nth centered``    ``# nonagonal number.``    ``return` `(``3` `*` `n ``-` `2``) ``*` `(``3` `*` `n ``-` `1``) ``/``/` `2``     ` `# Driver function.``n ``=` `10``print``(centeredNonagonal(n))`` ` `# This code is contributed ``# by Nikita Tiwari.`

## C#

 `// C# Program to find nth``// centered nonagonal number.``using` `System;`` ` `class` `GFG {``     ` `    ``// Function to find nth``    ``// centered nonagonal number.``    ``static` `int` `centeredNonagonal(``int` `n)``    ``{``        ``// Formula to find nth centered``        ``// nonagonal number.``        ``return` `(3 * n - 2) * (3 * n - 1) / 2;``    ``}``     ` `    ``// Driver function.``    ``public` `static` `void` `Main()``    ``{``        ``int` `n = 10;``        ``Console.Write(centeredNonagonal(n));``    ``}``}`` ` `// This code is contributed by vt_m.`

## PHP

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## Javascript

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Output:

`406`

Time Complexity: O(1)

Auxiliary Space: O(1)
Given a number n, find centered nonagonal number series till n.
We can also find the centered nonagonal number series. centered nonagonal number series contains the points on centered nonagonal.
centered nonagonal number : 1, 10, 28, 55, 91, 136, 190, 253, 325, 406, 496, 595, 703, 820, 946 . . .

## C++

 `// CPP Program find first``// n centered nonagonal number.``#include ``using` `namespace` `std;`` ` `// Function to find centered``// nonagonal number series.``int` `centeredNonagonal(``int` `n)``{``    ``for` `(``int` `i = 1; i <= n; i++) {``        ``cout << (3 * i - 2) * (3 * i - 1) / 2;``        ``cout << ``" "``;``    ``}``}`` ` `// Driver function.``int` `main()``{``    ``int` `n = 10;``    ``centeredNonagonal(n);``    ``return` `0;``}`

## Java

 `// Java Program find first``// n centered nonagonal number.``import` `java.io.*;`` ` `class` `GFG {``     ` `    ``// Function to find centered``    ``// nonagonal number series.``    ``static` `void` `centeredNonagonal(``int` `n)``    ``{``        ``for` `(``int` `i = ``1``; i <= n; i++) ``        ``{``            ``System.out.print((``3` `* i - ``2``) * ``                             ``(``3` `* i - ``1``) / ``2``);``            ``System.out.print(``" "``);``        ``}``    ``}`` ` `    ``// Driver function.``    ``public` `static` `void` `main(String args[])``    ``{``        ``int` `n = ``10``;``        ``centeredNonagonal(n);``    ``}``}`` ` `// This code is contributed ``// by Nikita Tiwari.`

## Python3

 `# Python3 Program find first``# n centered nonagonal number`` ` `# Function to find centered``# nonagonal number series``def` `centeredNonagonal(n) :``     ` `    ``for` `i ``in` `range``(``1``, n ``+` `1``) :``        ``print``( (``3` `*` `i ``-` `2``) ``*` `(``3` `*` `i ``-` `1``) ``/``/` `2``, end``=``" "``)``         ` ` ` `# Driver function``n ``=` `10``centeredNonagonal(n)`` ` `# This code is contributed by Nikita Tiwari`

## C#

 `// C# Program find first``// n centered nonagonal number.``using` `System;`` ` `class` `GFG {``     ` `    ``// Function to find centered``    ``// nonagonal number series.``    ``static` `void` `centeredNonagonal(``int` `n)``    ``{``        ``for` `(``int` `i = 1; i <= n; i++) ``        ``{``            ``Console.Write((3 * i - 2) * ``                            ``(3 * i - 1) / 2);``                             ` `            ``Console.Write(``" "``);``        ``}``    ``}`` ` `    ``// Driver function.``    ``public` `static` `void` `Main()``    ``{``        ``int` `n = 10;``        ``centeredNonagonal(n);``    ``}``}`` ` `// This code is contributed by``// by vt_m.`

## PHP

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## Javascript

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Output :

`1  10  28  55  91  136  190  253  325  406`

Time Complexity: O(n)

Auxiliary Space: O(1)

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