The Algebra of Fibonacci Representations
Robert Silber, Ralph Gellar · The Fibonacci Quarterly · 1976
A Fibonacci representation has been defined [1, 2, 3, 5, 8] as a finite sequence of ones and zeroes (in effect) read positionally from right to left, in which a one in position / signifies the presence of the Fibonacci number fj, where we take fl = 1, f2 = I The integer thus represented is the sum of the Fibonacci numbers whose presence is indicated by the ones appearing in the representation.