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A105317
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Powers of Fibonacci numbers.
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3
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0, 1, 2, 3, 4, 5, 8, 9, 13, 16, 21, 25, 27, 32, 34, 55, 64, 81, 89, 125, 128, 144, 169, 233, 243, 256, 377, 441, 512, 610, 625, 729, 987, 1024, 1156, 1597, 2048, 2187, 2197, 2584, 3025, 3125, 4096, 4181, 6561, 6765, 7921, 8192, 9261, 10946, 15625, 16384, 17711
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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LINKS
| T. D. Noe, Table of n, a(n) for n = 1..1000
Eric Weisstein's World of Mathematics, Fibonacci Number
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EXAMPLE
| 2197 = 13^3 = A000045(7)^3, therefore 2197 is a term.
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MATHEMATICA
| lim = 10^5; t = Table[f = Fibonacci[n]; f^Range[Floor[Log[lim]/Log[f]]], {n, 3, Ceiling[Log[GoldenRatio, lim] + 1]}]; Union[{0, 1}, Flatten[t]] (* T. D. Noe, Sep 27 2011 *)
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CROSSREFS
| Cf. A056574, A056573, A056572, A056571, A056570, A007598, A000045, A000079, A000244, A000351, A001018, A001022 and A009965 are subsequences.
Sequence in context: A191851 A063678 A005424 * A094103 A054181 A163077
Adjacent sequences: A105314 A105315 A105316 * A105318 A105319 A105320
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KEYWORD
| nonn
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 25 2005
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