Hexacontagon Number

• Last Updated : 23 Jun, 2021

Given a number N, the task is to find Nth Hexacontagon number

A Hexacontagon number is class of figurate number. It has 60 – sided polygon called hexacontagon. The N-th hexacontagon number count’s the 60 number of dots and all others dots are surrounding with a common sharing corner and make a pattern. The first few hexacontagonol numbers are 1, 60, 177, 352 …

Examples:

Input: N = 2
Output: 60
Explanation:
The second hexacontagonol number is 60.
Input: N = 3
Output: 177

Approach: The N-th hexacontagon number is given by the formula:

• Nth term of s sided polygon = • Therefore Nth term of 60 sided polygon is •

Below is the implementation of the above approach:

C++

 // C++ program for above approach#include using namespace std; // Finding the nth hexacontagon numberint hexacontagonNum(int n){    return (58 * n * n - 56 * n) / 2;} // Driver codeint main(){    int n = 3;    cout << "3rd hexacontagon Number is = "         << hexacontagonNum(n);     return 0;} // This code is contributed by shubhamsingh10

C

 // C program for above approach#include #include  // Finding the nth hexacontagon Numberint hexacontagonNum(int n){    return (58 * n * n - 56 * n) / 2;} // Driver program to test above functionint main(){    int n = 3;    printf("3rd hexacontagon Number is = %d",           hexacontagonNum(n));     return 0;}

Java

 // Java program for above approachclass GFG{     // Finding the nth hexacontagon numberpublic static int hexacontagonNum(int n){    return (58 * n * n - 56 * n) / 2;} // Driver codepublic static void main(String[] args){    int n = 3;    System.out.println("3rd hexacontagon Number is = " +                                    hexacontagonNum(n));}} // This code is contributed by divyeshrabadiya07

Python3

 # Python3 program for above approach # Finding the nth hexacontagon Numberdef hexacontagonNum(n):     return (58 * n * n - 56 * n) // 2 # Driver Coden = 3print("3rd hexacontagon Number is = ",                  hexacontagonNum(n)); # This code is contributed by divyamohan123

C#

 // C# program for above approachusing System; class GFG{     // Finding the nth hexacontagon numberpublic static int hexacontagonNum(int n){    return (58 * n * n - 56 * n) / 2;} // Driver codepublic static void Main(){    int n = 3;    Console.Write("3rd hexacontagon Number is = " +                               hexacontagonNum(n));}} // This code is contributed by Code_Mech

Javascript


Output:
3rd hexacontagon Number is = 177

Time Complexity: O(1)

Auxiliary Space: O(1)

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