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A124105 Practical Fibonacci numbers. 0
1, 2, 8, 144, 46368, 832040, 14930352, 267914296, 4807526976 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Melfi proves that this sequence is infinite. The first few practical Fibonacci numbers have indices that are themselves practical (analogous to the property that the prime Fibonacci numbers have prime indices) but Melfi observes that this property is not true in general: F444 is practical although 444 itself is not.

REFERENCES

Giuseppe Melfi: "A survey on practical numbers", Rend. Sem. Mat. Univ. Pol. Torino, 53, (1995), 347-359.

LINKS

Table of n, a(n) for n=1..9.

Giuseppe Melfi, A survey on practical numbers

Eric W. Weisstein, From MathWorld: Practical Number.

EXAMPLE

144 is a member of this sequence because it is the 12th Fibonacci number and is also a practical number.

CROSSREFS

Cf. A000045, A005153, A074316.

Sequence in context: A154908 A166356 A009817 * A079613 A091299 A007314

Adjacent sequences:  A124102 A124103 A124104 * A124106 A124107 A124108

KEYWORD

nonn

AUTHOR

David Eppstein, Dec 13 2006

STATUS

approved

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Last modified June 19 16:23 EDT 2013. Contains 226415 sequences.