How to find nth Decagonal Number in Python?

Hey folks! In this tutorial, we’ll explore how to obtain the nth Decagonal Number in Python. But first, let’s go over the basics of Decagonal Numbers.

Introduction to Decagonal Number

A decagonal number is a figurate number that extends the notion of the triangle and square numbers to the decagon (a ten-sided polygon). The nth decagonal number counts the number of dots in a pattern of n nested decagons, each of which has a shared corner.

The following formula generates the n-th decagonal number:

D(n) = 4*n^2 – 3*n

Algorithm to find nth Decagonal Number

In order to obtain the nth Decagonal Number using the Python programming language, we will be following the steps mentioned below:

1. Take the input for the value of n
2. Compute the value of D(n) using the formula mentioned in the previous section.
3. Display the computed value of D(n)

Finding the nth decagonal number with Python

def GetDecagonalNumber(n):
    return (4*n*n - 3*n)

n = int(input("Enter the value of n: "))
print("The required Decagonal Number is: ", GetDecagonalNumber(n))

Here, we have created a function to make things simpler to understand and generalize a direct function that can be reused in any other code.

Sample Outputs

Enter the value of n: 3
The required Decagonal Number is:  27

Enter the value of n: 20
The required Decagonal Number is:  1540

Conclusion

Congratulations! You just learned how to compute nth Decagonal number in the Python programming language. Hope you enjoyed it! 😇

Liked the tutorial? In any case, I would recommend you to have a look at the tutorials mentioned below:

1. Armstrong Number in Python – Easy Implementation
2. Harshad Number in Python – Easy Implementation

Thank you for taking your time out! Hope you learned something new!! 😄