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

In this article, we will discuss about Hexahectagon number. According to definition of Hexahectagon number:

A Hexahectagon number is class of figurate number. It has 600 – sided polygon called Hexahectagon. The N-th Hexahectagon number count’s the 600 number of dots and all others dots are surrounding with a common sharing corner and make a pattern. The first few Hexahectagonol numbers are 1, 600, 1797, 3592, 5985 …

Examples:

Input: N = 2
Output: 600
Explanation:
The second Hexahectagonol number is 600.
Input: N = 3
Output: 1797

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

Nth term of s sided polygon =

Therefore Nth term of 600 sided polygon is =

Below is the simply implementation of the above approach in Python –

# Python3 program to find the N-th 
# Hexahectagon number 
  
# Function to find the N-th 
# Hexahectagon number 
def HexahectagonNum(N): 
  
    return (598 * N * N - 596 * N) // 2
  
# Driver code 
n = 3
print(HexahectagonNum(n))

Output:

The time complexity of this program is O(1) because of no loops and no recursion. We have only formula calculation which is constant.