Egyptian fractions with denominators from sequences closed under doubling.
D. Eppstein.
J. Integer Sequences 24: 21.8.8, 2021.
arXiv:2109.12217.
We prove that if a set of positive integers includes multiples of all integers, and is closed under multiplication by two, then its reciprocals can form Egyptian fractions for every rational number up to the sum of reciprocals of the set.
See also "Ten algorithms for Egyptian fractions".