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.

Input: Consider Input: 4, 12, ['2337', 'A', 'j', 'p', 'c', 'k', 'Y', 'Q', 'N', 'L', '8857', '9985', 'N', 'x', 'u']

Output: 18842


Input: Consider Input: 1, 2, ['4001', 'e', 'm', 'Q', 'T', 'a', '2909', '4043', 'O', 'L', '3401', 'Y', '4015', '2045', '3881', 'd']

Output: 4001


Input: Consider Input: 2, 14, ['3263', '7863', '4733', '3277', '6747', 'H', 'e', 'P', '2883', 'h', 'G', 'e', '1639', 'G', 't', '5569', '1879', 'o', '8145', '4513']


Output: 27142