Python Math: Get the nth tetrahedral number from a given integer(n) value
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:
N | Tetrahedral Number |
---|---|
1 | 1 |
2 | 4 |
3 | 10 |
4 | 20 |
5 | 35 |
6 | 56 |
Write a Python program to get the nth 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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