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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 26 08:13 EDT 2019. Contains 322472 sequences. (Running on oeis4.)