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A069104
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Numbers n such that n divides F(n+1) where F(k) are the Fibonacci numbers.
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6
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1, 2, 3, 7, 13, 17, 23, 37, 43, 47, 53, 67, 73, 83, 97, 103, 107, 113, 127, 137, 157, 163, 167, 173, 193, 197, 223, 227, 233, 257, 263, 277, 283, 293, 307, 313, 317, 323, 337, 347, 353, 367, 373, 377, 383, 397, 433, 443, 457, 463, 467, 487, 503, 523, 547, 557
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Equals A003631 union A069107
Let u(1)=u(2)=1 and (n+2)*u(n+2) = (n+1)*u(n+1)+ n*u(n); then sequence gives values of k such that u(k) is an integer.
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LINKS
| Reinhard Zumkeller, Table of n, a(n) for n = 1..1000
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MATHEMATICA
| Select[Range[6! ], IntegerQ[Fibonacci[ #+1]/# ]&] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 03 2009]
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PROG
| (Haskell)
import Data.List (elemIndices)
a069104 n = a069104_list !! (n-1)
a069104_list =
map (+ 1) $ elemIndices 0 $ zipWith mod (drop 2 a000045_list) [1..]
-- Reinhard Zumkeller, Oct 13 2011
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CROSSREFS
| Cf. A000045, A023172, A123976, A159051.
Sequence in context: A045328 A045329 A106306 * A003631 A175443 A032449
Adjacent sequences: A069101 A069102 A069103 * A069105 A069106 A069107
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KEYWORD
| easy,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 06 2002
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