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A124456 Numbers n such that n divides the sum of the first n Fibonacci numbers and such that n is not a multiple of 24. 1
1, 2, 77, 319, 323, 1517, 3021, 4757, 6479, 7221, 8159, 8229, 9797, 11663, 12597, 13629, 13869, 14429, 14949, 16637, 18407, 19043, 19437, 23407, 24947, 25437, 30049, 30621, 34943, 34989, 35207, 39203, 43677, 44099, 47519, 51983, 53663 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that n divides the sum of the first n Fibonacci numbers are listed in A111035(n) = {1, 2, 24, 48, 72, 77, 96, 120, 144, 192, 216, 240, 288, 319, 323, 336, 360, ...}. Most terms in A111035(n) are the multiples of 24. Numbers n such that 24n divides the sum of the first 24n Fibonacci numbers are listed in A124455(n) = {1,2,3,4,5,6,8,9,10,12,14,15,16,18,20,24,25,27,28,30,32,36,40,42,45,46,48,50, 51,54,55,56,57,60,64,70,72,75,80,81,84,86,90,92,96,98,100,...}.

MATHEMATICA

Select[Range[20000], !IntegerQ[ #/24]&&Mod[Fibonacci[ #+2]-1, # ]==0&]

CROSSREFS

Cf. A111035, A124455.

Sequence in context: A087287 A041721 A048358 * A183578 A184965 A157062

Adjacent sequences:  A124453 A124454 A124455 * A124457 A124458 A124459

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 02 2006, Nov 03 2006

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Last modified February 16 15:27 EST 2012. Contains 205930 sequences.