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Conjectured number of Fibonacci numbers with exactly n 0-bits in their binary representation.
6

%I #8 Mar 11 2013 14:03:18

%S 3,5,2,4,3,1,2,3,5,1,3,5,3,3,2,1,6,1,2,3,3,2,0,3,5,4,4,3,4,2,1,2,6,1,

%T 2,2,5,4,3,5,2,2,2,1,2,2,2,5,6,3,2,2,3,1,5,1,1,0,8,4,3,3,3,3,5,4,4,2,

%U 2,2,2,3,2,6,3,0,0,2,5,5,1,6,5,0,3,5,1

%N Conjectured number of Fibonacci numbers with exactly n 0-bits in their binary representation.

%H T. D. Noe, <a href="/A222601/b222601.txt">Table of n, a(n) for n = 0..1000</a>

%t f = Fibonacci[Range[0,100]]; Table[Length[Select[f, Count[IntegerDigits[#, 2], 0] == n &]], {n, 0, 20}]

%Y Cf. A004685 (Fibonacci numbers in binary), A214853 (one 0-bit), A222602.

%Y Cf. A222295, A222296.

%K nonn

%O 0,1

%A _T. D. Noe_, Mar 08 2013