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A165276 Number of even-indexed Fibonacci numbers in the Zeckendorf representation of n. 7
1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 3, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 3, 1, 2, 1, 2, 3, 2, 3, 4, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 3, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 3, 1, 2, 1, 2, 3, 2, 3, 4, 1, 2, 1, 2, 3, 1, 2, 1, 2, 3, 2, 3, 4, 2, 3, 2, 3, 4, 3, 4, 5, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 3, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

We begin the indexing at 2; that is, 1=F(2), 2=F(3), 3=F(4), 5=F(5), ...

For a count of odd-indexed Fibonacci summands, see A165277.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

6 = 5 + 1 = F(5) + F(2), so that a(6) = 1.

MATHEMATICA

fibEvenCount[n_] := Plus @@ (Reverse@IntegerDigits[n, 2])[[1 ;; -1 ;; 2]]; fibEvenCount /@ Select[Range[1000], BitAnd[#, 2 #] == 0 &] (* Amiram Eldar, Jan 20 2020 *)

CROSSREFS

Cf. A014417, A165277, A165278, A165279.

Sequence in context: A287104 A190483 A090239 * A035698 A230204 A325592

Adjacent sequences:  A165273 A165274 A165275 * A165277 A165278 A165279

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 12 2009

STATUS

approved

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Last modified February 27 10:11 EST 2020. Contains 332304 sequences. (Running on oeis4.)