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A088334
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Expansion of 1/phi (phi being the golden ratio) as an infinite product: 1/phi = Product_{k=0..n} (1-1/a(k)).
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2
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OFFSET
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0,1
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COMMENTS
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The next term is too large to include.
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LINKS
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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
a(n) = b(n+2)+1, n>=0, with b(n):= A101342(n) = F(2^n-1). See the reciprocal of the infinite product of this entry. For a proof see the J. Shallit reference. - Wolfdieter Lang, Nov 04 2010
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PROG
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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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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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