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 A020899 Numbers k with an odd number of terms in their Zeckendorf representation (write k as a sum of non-consecutive distinct Fibonacci numbers). 12
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers k such that A095076(k) = 1. - Amiram Eldar, Feb 05 2023 REFERENCES 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. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 D. E. Daykin, Representation of natural numbers as sums of generalized Fibonacci numbers, J. London Math. Soc. 35 (1960), 143-160. FORMULA A007895(a(n)) mod 2 = 1. - Reinhard Zumkeller, Mar 10 2013 MATHEMATICA Flatten @ Position[Mod[DigitCount[Select[Range[0, 1000], BitAnd[#, 2 #] == 0 &], 2, 1], 2], 1] - 1 (* Amiram Eldar, Feb 05 2023 *) PROG (Haskell) a020899 n = a020899_list !! (n-1) a020899_list = filter (odd . a007895) [1..] -- Reinhard Zumkeller, Mar 10 2013 CROSSREFS Cf. A007895, A014417, A095076. Sequence in context: A056695 A342746 A287006 * A057987 A243165 A336993 Adjacent sequences: A020896 A020897 A020898 * A020900 A020901 A020902 KEYWORD nonn AUTHOR Clark Kimberling EXTENSIONS Offset corrected by Reinhard Zumkeller, Mar 10 2013 STATUS approved

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Last modified May 23 00:00 EDT 2024. Contains 372758 sequences. (Running on oeis4.)