Gets all the combinations of the sum of a list of elements.

get_all_sum_combinations.py

import itertools

def get_all_sum_combinations(elements):
    """
        Gets all the combinations of the sum of a list of elements.
    """
    combinations = []
    for i in range(1, len(elements) + 1):
        for subset in itertools.combinations(elements, r=i):
            result = sum(subset)
            if result not in combinations:
                combinations.append(result)

    return combinations

print get_all_sum_combinations([3,4,10])