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Search: id:A100993
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| A100993 |
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Indices n of Fibonacci numbers Fib(n) (A000045) that are divisible by n-1. |
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2
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| 2, 3, 4, 8, 14, 18, 24, 38, 44, 48, 54, 68, 74, 84, 98, 104, 108, 114, 128, 138, 158, 164, 168, 174, 194, 198, 224, 228, 234, 258, 264, 278, 284, 294, 308, 314, 318, 324, 338, 348, 354, 368, 374, 378, 384, 398, 434, 444, 458, 464, 468, 488, 504, 524, 548, 558
(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 A003631; when n-1 is composite (such as 323), it is in A069107. - 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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FORMULA
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a(n) = A069104(n) + 1 - T. D. Noe (noe(AT)sspectra.com), Dec 13 2004
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EXAMPLE
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14 because F(14)=377=13*29 so is divisible by 13, one less than its index number 14.
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MATHEMATICA
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Select[Range[2, 500], Mod[ Fibonacci[ # ], # - 1] == 0 &] (from Robert G. Wilson v Nov 26 2004)
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CROSSREFS
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Cf. A100992, A023162, A023173.
Adjacent sequences: A100990 A100991 A100992 this_sequence A100994 A100995 A100996
Sequence in context: A092075 A091415 A091816 this_sequence A117395 A006755 A005853
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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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