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Search: id:A088334
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| A088334 |
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Expansion of 1/phi (phi being the golden ratio) as an infinite product: 1/phi = prod(k=0,n,1-1/a(k)). |
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2
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| 3, 14, 611, 1346270, 6557470319843, 155576970220531065681649694, 87571595343018854458033386304178158174356588264390371
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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a(0) = 3, a(n+1) = (a(n)-1)*A001566(n+1)
a(n) = 1+ceiling(1/2*(1-1/sqrt(5))*phi^(2^(n+2))) where phi=(1+sqrt(5))/2. a(n)==2 (mod 3) for n>0. - Benoit Cloitre, Nov 09 2003
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PROGRAM
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(PARI) a(n)=if(n<0, 0, fibonacci(2^(n+2)-1)+1)
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CROSSREFS
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Cf. A001566.
Sequence in context: A144985 A081397 A092987 this_sequence A050645 A048568 A119678
Adjacent sequences: A088331 A088332 A088333 this_sequence A088335 A088336 A088337
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KEYWORD
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nonn
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AUTHOR
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Thomas Baruchel (baruchel(AT)users.sourceforge.net), Nov 07 2003
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EXTENSIONS
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The next term is too large to include.
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