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.
17, 23, ['H', '6103', 'Q', '1055', 'A', '7283', 'A', 'n', '9899', 'Y', '8379', 'J', 'J', '111', '9831', '3969', 'f', '7369', 'A', '1937', 'J', '3583', '7827', '9857', 'P']