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!)
A087347 Numbers k that divide Sum_{j=1..k} Fibonacci(j*k). 1
1, 2, 5, 8, 12, 15, 20, 24, 25, 32, 36, 44, 48, 50, 56, 60, 63, 72, 80, 84, 95, 96, 104, 108, 110, 120, 125, 128, 135, 140, 144, 152, 155, 168, 175, 180, 185, 192, 200, 204, 207, 209, 216, 224, 228, 240, 252, 264, 276, 279, 288, 300, 320, 323, 324, 336, 360, 368 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
Conjecture: a(n) is asymptotic to c*n*log(n) with c around 1.3. [This conjecture is probably false, see plot. - Vaclav Kotesovec, Feb 16 2019]
MATHEMATICA
Select[Range[380], Divisible[Sum[Fibonacci[# k], {k, #}], #]&] (* Harvey P. Dale, Aug 16 2011 *)
CROSSREFS
Sequence in context: A080753 A248184 A156745 * A062468 A365624 A228153
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Oct 20 2003
EXTENSIONS
More terms from Ray Chandler, Oct 22 2003
STATUS
approved

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 March 29 06:15 EDT 2024. Contains 371265 sequences. (Running on oeis4.)