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C. G. Lekkerkerker, "Voorstelling van natuurlijke getallen door een som van getallen van Fibonacci," Simon Stevin 29 (1952) , 190-195.

Edouard Zeckendorf, Représentation des nombres naturels par une somme des nombres de Fibonacci ou de nombres de Lucas, Bull. Soc. Roy. Sci. Liège 41, (1972), 179-182, 1972.

D. E. Daykin, <a href="https://doi.org/10.1112/jlms/s1-35.2.143">Representation of natural numbers as sums of generalized Fibonacci numbers</a>, J. London Math. Soc. 35 (1960) , 143-160.

D. E. Daykin, "Representation of natural numbers as sums of generalized Fibonacci numbers," J. London Math. Soc. 35 (1960) 143-160.

D. E. Daykin, <a href="https://doi.org/10.1112/jlms/s1-35.2.143">Representation of natural numbers as sums of generalized Fibonacci numbers</a>, J. London Math. Soc. 35 (1960) 143-160.

A007895(a(n)) mod 2 = 1. - Reinhard Zumkeller, Mar 10 2013

Numbers k such that A095076(k) = 1. - Amiram Eldar, Feb 05 2023

Edouard Zeckendorf, E., Représentation des nombres naturels par une somme des nombres de Fibonacci ou de nombres de Lucas, Bull. Soc. Roy. Sci. Liège 41, 179-182, 1972.

A007895(a(n)) mod 2 = 1. - Reinhard Zumkeller, Mar 10 2013

Cf. A007895, A014417, A095076.

Odd Numbers k with an odd number of terms in their Zeckendorf representation of n (write n k as a sum of non-consecutive distinct Fibonacci numbers).

1, 2, 3, 5, 8, 12, 13, 17, 19, 20, 21, 25, 27, 28, 30, 31, 32, 34, 38, 40, 41, 43, 44, 45, 48, 49, 50, 52, 55, 59, 61, 62, 64, 65, 66, 69, 70, 71, 73, 77, 78, 79, 81, 84, 88, 89, 93, 95, 96, 98, 99, 100, 103, 104, 105, 107, 111, 112, 113, 115, 118, 122, 124, 125

Flatten @ Position[Mod[DigitCount[Select[Range[0, 1000], BitAnd[#, 2 #] == 0 &], 2, 1], 2], 1] - 1 (* Amiram Eldar, Feb 05 2023 *)

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