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%I #12 Jan 20 2020 14:44:32
%S 0,1,0,0,1,1,2,0,0,1,0,0,1,1,2,1,1,2,2,3,0,0,1,0,0,1,1,2,0,0,1,0,0,1,
%T 1,2,1,1,2,2,3,1,1,2,1,1,2,2,3,2,2,3,3,4,0,0,1,0,0,1,1,2,0,0,1,0,0,1,
%U 1,2,1,1,2,2,3,0,0,1,0,0,1,1,2,0,0,1,0,0,1,1,2,1,1,2,2,3,1,1,2,1,1,2,2,3,2
%N Number of odd-indexed Fibonacci numbers in the Zeckendorf representation of n.
%C We begin the indexing at 2; that is, 1=F(2), 2=F(3), 3=F(4), 5=F(5), ...
%C For a count of even-indexed Fibonacci summands, see A165276.
%H Amiram Eldar, <a href="/A165277/b165277.txt">Table of n, a(n) for n = 1..10000</a>
%e 6 = 5 + 1 = F(5) + F(2), so that a(6) = 1.
%t fibOddCount[n_] := Plus @@ (Reverse@IntegerDigits[n, 2])[[2 ;; -1 ;; 2]]; fibOddCount /@ Select[Range[1000], BitAnd[#, 2 #] == 0 &] (* _Amiram Eldar_, Jan 20 2020 *)
%Y Cf. A014417, A165276, A165278, A165279.
%K nonn
%O 1,7
%A _Clark Kimberling_, Sep 12 2009
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