In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

[Q]: 3, 14, ['Y', '9099', 'H', 'D', 'M', '1111', 'N', '4939', 'b', 'Y', '13', 'L', 'J', '4045', '2005', 'F', 'O', '1495', 'J', 'h', 'G']
[A]: 10108


[Q]: 11, 20, ['8031', 'v', 'p', '4015', 'v', '3299', '4143', '445', 'I', 'L', 'm', 'u', '7963', '8085', 'c', 'k', 'I', 'A', '8433', '1897', 'g', 'x', '5935', '5195', 'W', 'j', 'A']
[A]: 26378


[Q]: 1, 13, ['8061', '4657', 'p', 'T', 'N', '7605', 'l', 'F', '669', '7297', '8643', 'd', '7391', 'U', 'f', 'J', 'c', '5105', 'C', 'W', '289', '9699', 'k', '2523']
[A]:
44323