

A111035


Numbers n that divide the sum of the first n nonzero Fibonacci numbers.


7



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
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OFFSET

1,2


COMMENTS

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, 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)


PROG

(PARI) is(n)=((Mod([1, 1; 1, 0], n))^(n+2))[1, 2]==1 \\ Charles R Greathouse IV, Feb 04 2013


CROSSREFS

See A101907 for another version.
Sequence in context: A119070 A181283 A073215 * A249277 A002552 A075265
Adjacent sequences: A111032 A111033 A111034 * A111036 A111037 A111038


KEYWORD

nonn


AUTHOR

Joseph L. Pe, Oct 05 2005


EXTENSIONS

More terms from Rick L. Shepherd and T. D. Noe, Oct 06 2005


STATUS

approved



