A Sequence of numbers is said to be weakly complete if every Positive Integer beyond a
certain point is the sum of some Subsequence of (Honsberger 1985). Dropping two terms from the
Fibonacci Numbers produces a Sequence which is not even weakly complete. However, the
Sequence
See also Complete Sequence
References
Graham, R. ``A Property of Fibonacci Numbers.'' Fib. Quart. 2, 1-10, 1964.
Honsberger, R. Mathematical Gems III. Washington, DC: Math. Assoc. Amer., p. 128, 1985.