A222601 Conjectured number of Fibonacci numbers with exactly n 0-bits in their binary representation.

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, 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, 2, 2, 2, 3, 2, 6, 3, 0, 0, 2, 5, 5, 1, 6, 5, 0, 3, 5, 1

Offset: 0

Author

T. D. Noe, Mar 08 2013

Keywords

• nonn

Links

• T. D. Noe, Table of n, a(n) for n = 0..1000

Crossrefs

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

Cf. A222295, A222296.

Programs

Mathematica

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