The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A196024 Odious Fibonacci numbers. 2

%I #29 May 05 2019 03:48:30

%S 1,2,8,13,21,55,233,1597,4181,28657,121393,196418,317811,1346269,

%T 2178309,3524578,9227465,165580141,1134903170,1836311903,2971215073,

%U 20365011074,32951280099,53316291173,225851433717,2504730781961,6557470319842,17167680177565,27777890035288

%N Odious Fibonacci numbers.

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

%C 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, ...

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

%H Harvey P. Dale, <a href="/A196024/b196024.txt">Table of n, a(n) for n = 1..1000</a>

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

%p isA000069 := proc(n)

%p type(wt(n),'odd') ;

%p end proc:

%p for n from 1 to 300 do

%p F := combinat[fibonacci](n) ;

%p if isA000069(F) then printf("%d,",F) ; end if;

%p end do: # _R. J. Mathar_, Oct 15 2011

%t Rest[Select[Fibonacci[Range[100]],OddQ[DigitCount[#,2,1]]&]] (* _Harvey P. Dale_, Oct 16 2011 *)

%Y Cf. A000045, A000120, A007088, A004685.

%K nonn,base

%O 1,2

%A _Kausthub Gudipati_, Sep 27 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 13 07:22 EDT 2024. Contains 372498 sequences. (Running on oeis4.)