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

Last update on March 30 2025 11:57:31 (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:

Python Code Editor:

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