....and the 100th member is (Posted on 2021-10-04)
The increasing sequence 1, 5, 6, 25, 26, 30, 31, 125, 126, … consists of all positive integers that can be formed by summing up distinct powers of 5 - from 1 to N presented in increasing order. That is, 1 = 5^0, 5 = 5^1, 6 = 5^0 + 5^1, etc, etc.
