|
Search: id:A111035
|
|
|
| A111035 |
|
Numbers n that divide the sum of the first n Fibonacci numbers. |
|
+0
5
|
|
| 1, 2, 24, 48, 72, 77, 96, 120, 144, 192, 216, 240, 288, 319, 323, 336, 360, 384, 432, 480, 576, 600, 648, 672, 720, 768, 864, 960, 1008, 1080, 1104, 1152, 1200, 1224, 1296, 1320, 1344, 1368, 1440, 1517, 1536, 1680, 1728, 1800, 1920, 1944, 2016, 2064, 2160
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
The sum of the first n Fibonacci numbers is F(n+2)-1, sequence A000071. Knott discusses the factorization of these numbers. Observe that most of these numbers are divisible by 24. - T. D. Noe (noe(AT)sspectra.com), Oct 10 2005
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..1000
Ron Knott, The Mathematical Magic of the Fibonacci Numbers
|
|
MATHEMATICA
|
Select[Range[3000], Mod[Fibonacci[ #+2]-1, # ]==0&] (Noe)
|
|
CROSSREFS
|
See A101907 for another version.
Sequence in context: A019996 A119070 A073215 this_sequence A002552 A075265 A053657
Adjacent sequences: A111032 A111033 A111034 this_sequence A111036 A111037 A111038
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Oct 05 2005
|
|
EXTENSIONS
|
More terms from Rick L. Shepherd (rshepherd2(AT)hotmail.com) and T. D. Noe (noe(AT)sspectra.com), Oct 06 2005
|
|
|
Search completed in 0.002 seconds
|
