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Search: id:A154908
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| A154908 |
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Highly composite Fibonacci numbers. |
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+0
3
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| 1, 2, 8, 144, 2584, 46368, 14930352, 4807526976, 1548008755920, 498454011879264, 160500643816367088, 2880067194370816120, 51680708854858323072, 16641027750620563662096, 5358359254990966640871840
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Positive Fibonacci numbers with record values for the number of divisors.
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EXAMPLE
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144 is in the sequence because it is a Fibonacci number with 15 divisors and all smaller Fibonacci numbers have fewer divisors. [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 20 2009]
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MAPLE
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with(numtheory): with(combinat): a := proc (n) if n = 1 then 1 else if max(seq(tau(fibonacci(j)), j = 1 .. n-1)) < tau(fibonacci(n)) then fibonacci(n) else end if end if end proc: seq(a(n), n = 1 .. 170); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 20 2009]
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CROSSREFS
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Cf. A000005, A000045, A002182, A063375, A154906, A154907.
Sequence in context: A111827 A045330 A140050 this_sequence A166356 A009817 A124105
Adjacent sequences: A154905 A154906 A154907 this_sequence A154909 A154910 A154911
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KEYWORD
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nonn
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Jan 18 2009, Jan 20 2009
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EXTENSIONS
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Extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 20 2009
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