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A020899 Odd number of terms in Zeckendorf representation of n (write n 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

REFERENCES

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

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

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.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

PROG

(Haskell)

a020899 n = a020899_list !! (n-1)

a020899_list = filter (odd . a007895) [1..]

-- Reinhard Zumkeller, Mar 10 2013

CROSSREFS

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 January 30 07:42 EST 2023. Contains 359942 sequences. (Running on oeis4.)