human
Solve the following python programming problem given the following code:
# %load test_utopian_tree.py
from nose.tools import assert_equal

class TestUtopianTree(object):

    def test_utopian_tree(self):
        assert_equal(calc_utopian_tree_height(0), 1)
        assert_equal(calc_utopian_tree_height(1), 2)
        assert_equal(calc_utopian_tree_height(4), 7)
        print('Success: test_utopian_tree')

def main():
    test = TestUtopianTree()
    test.test_utopian_tree()

if __name__ == '__main__':
    main()
Given the above code, generate some markdown instructions for it.
assistant
#Here is the Python code you requested.

Unit Test
The following unit test is expected to fail until you solve the challenge.