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A196024 Odious Fibonacci numbers. 2
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 (list; graph; refs; listen; history; text; internal format)
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 * A037382 A297810 A298142

Adjacent sequences:  A196021 A196022 A196023 * A196025 A196026 A196027

KEYWORD

nonn,base

AUTHOR

Kausthub Gudipati, Sep 27 2011

STATUS

approved

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Last modified July 17 08:42 EDT 2019. Contains 325098 sequences. (Running on oeis4.)