Python Math: Get the nth tetrahedral number from a given integer(n) value
Python Math: Exercise-84 with Solution
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
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Python: Tips of the Day
Find current directory and file's directory:
To get the full path to the directory a Python file is contained in, write this in that file:
import os dir_path = os.path.dirname(os.path.realpath(__file__))
(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)
To get the current working directory use
import os cwd = os.getcwd()
Documentation references for the modules, constants and functions used above:
- The os and os.path modules.
- The __file__ constant
- os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
- os.path.dirname(path) (returns "the directory name of pathname path")
- os.getcwd() (returns "a string representing the current working directory")
- os.chdir(path) ("change the current working directory to path")
Ref: https://bit.ly/3fy0R6m
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