## Fibonacci Dual Theorem

Let be the th Fibonacci Number. Then the sequence is Complete, even if one is restricted to subsequences in which no two consecutive terms are both passed over (until the desired total is reached; Brown 1965, Honsberger 1985).

Brown, J. L. Jr. A New Characterization of the Fibonacci Numbers.'' Fib. Quart. 3, 1-8, 1965.