Solve The Triangle of Odd Numbers using Python

The challenge

Given the triangle of consecutive odd numbers:

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 ...

Calculate the row sums of this triangle from the row index (starting at index 1) e.g.:

row_sum_odd_numbers(1); # 1 row_sum_odd_numbers(2); # 3 + 5 = 8
Code language: Python (python)

Test cases

Test.assert_equals(row_sum_odd_numbers(1), 1) Test.assert_equals(row_sum_odd_numbers(2), 8) Test.assert_equals(row_sum_odd_numbers(13), 2197) Test.assert_equals(row_sum_odd_numbers(19), 6859) Test.assert_equals(row_sum_odd_numbers(41), 68921)
Code language: Python (python)

The solution in code

While there are many ways to achieve this, the absolute most simple is to realise that the solution is just a n^3.

def row_sum_odd_numbers(n): return n*n*n
Code language: Python (python)

Another way is to do it the more Pythonic way:

def row_sum_odd_numbers(n): return n ** 3
Code language: Python (python)
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