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Search: id:A100992
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| A100992 |
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Indices n of Fibonacci numbers Fib(n) (A000045) that are divisible by n+1. |
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+0
2
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| 10, 18, 28, 30, 40, 58, 60, 70, 78, 88, 100, 108, 130, 138, 148, 150, 178, 180, 190, 198, 210, 228, 238, 240, 250, 268, 270, 280, 310, 330, 348, 358, 378, 388, 400, 408, 418, 420, 430, 438, 441, 448, 460, 478, 490, 498, 508, 520, 540, 568, 570, 598, 600, 618
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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When n+1 is prime, it is in A045468; when n+1 is composite (such as 442), it is in A069106. - T. D. Noe (noe(AT)sspectra.com), Dec 13 2004
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LINKS
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R. Knott Mathematical Magic of the Fibonacci Numbers
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EXAMPLE
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18 because F(18)=2584=2*2*2*17*19 so is divisible by 19, one more than its index number 18.
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MATHEMATICA
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Select[ Range[ 620], Mod[ Fibonacci[ # ], # + 1] == 0 &] (from Robert G. Wilson v Nov 26 2004)
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CROSSREFS
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Cf. A100993, A023162, A023173.
Sequence in context: A055481 A165250 A125689 this_sequence A167607 A162828 A014006
Adjacent sequences: A100989 A100990 A100991 this_sequence A100993 A100994 A100995
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KEYWORD
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nonn
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AUTHOR
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Ron Knott (fibandphi(AT)ronknott.com), Nov 25 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 26 2004
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