Python Math: Get the nth tetrahedral number from a given integer(n) value

Last update on April 24 2025 12:44:06 (UTC/GMT +8 hours)

84. Nth Tetrahedral Number Calculator

A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron. The formula for the nth tetrahedral number is represented by the 3rd rising factorial of n divided by the factorial of 3:

Example of tetrahedral numbers:

Write a Python program to get the n^th tetrahedral number from a given integer(n) value.

Sample Solution:

Python Code:

def test(n):
    return (n * (n + 1) * (n + 2)) / 6

n = 1
print("\nOriginal Number:",n)
print("Tetrahedral number:",test(n))
n = 2
print("\nOriginal Number:",n)
print("Tetrahedral number:",test(n))
n = 6
print("\nOriginal Number:",n)
print("Tetrahedral number:",test(n))

Sample Output:

Original Number: 1
Tetrahedral number: 1.0

Original Number: 2
Tetrahedral number: 4.0

Original Number: 6
Tetrahedral number: 56.0

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program to calculate the nth tetrahedral number using the formula T(n) = n(n+1)(n+2)/6 and print the result.
• Write a Python function that returns the nth tetrahedral number and test it with n=1, n=2, and n=6.
• Write a Python script to generate a sequence of tetrahedral numbers up to a given n and display the list.
• Write a Python program to compare tetrahedral numbers for different values of n and print the differences.

Go to:

• Python Math Exercises Home ↩
• Python Exercises Home ↩

Previous: Write a Python program to calculate the aliquot sum of an given integer.
Next: Write a Python program to get the sum of the powers of all the numbers from start to end (both inclusive).

Python Code Editor:

Have another way to solve this solution? Contribute your code (and comments) through Disqus.