A196024 Odious Fibonacci numbers.

1, 2, 8, 13, 21, 55, 233, 1597, 4181, 28657, 121393, 196418, 317811, 1346269, 2178309, 3524578, 9227465, 165580141, 1134903170, 1836311903, 2971215073, 20365011074, 32951280099, 53316291173, 225851433717, 2504730781961, 6557470319842, 17167680177565, 27777890035288

Offset

1,2

Comments

Intersection of A000069 (odious numbers) and A000045 (Fibonacci numbers).

The k-th Fibonacci number is odious for k = 1, 2, 3, 6, 7, 10, 13, 17, 19, 23, 26, 27, 28, 30, 31, 32, 33, 35, 41, 45, ...

The k-th odious number is a Fibonacci number for k = 1, 2, 5, 7, 11, 28, 117, 799, 2091, ...

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

8 is a Fibonacci number that equals 1000 in binary, which contains one (odd number) 1.

Maple

isA000069 := proc(n)
        type(wt(n), 'odd') ;
end proc:
for n from 1 to 300 do
        F := combinat[fibonacci](n) ;
        if isA000069(F) then printf("%d, ", F) ; end if;
end do: # R. J. Mathar, Oct 15 2011

Mathematica

Rest[Select[Fibonacci[Range[100]], OddQ[DigitCount[#, 2, 1]]&]] (* Harvey P. Dale, Oct 16 2011 *)

Crossrefs

Cf. A000045, A000120, A007088, A004685.

Sequence in context: A305879 A271383 A193666 * A371381 A037382 A297810

Adjacent sequences: A196021 A196022 A196023 * A196025 A196026 A196027

Keyword

nonn,base

Author

Kausthub Gudipati, Sep 27 2011

Status

approved