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A225167
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Denominators of the sequence s(n) of the sum resp. product of fractions f(n) defined recursively by f(1) = 8/1; f(n+1) is chosen so that the sum and the product of the first n terms of the sequence are equal.
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1
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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a(n) = 8^(2^(n-1))*b(n) where b(n)=b(n-1)-b(n-1)^2 with b(1)=1/8.
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EXAMPLE
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f(n) = 8, 8/7, 64/57, 4096/3697, ...
8 + 8/7 = 8 * 8/7 = 64/7; 8 + 8/7 + 64/57 = 8 * 8/7 * 64/57 = 4096/399; ...
s(n) = 1/b(n) = 8, 64/7, 4096/399, ...
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MAPLE
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b:=proc(n) option remember; b(n-1)-b(n-1)^2; end:
b(1):=1/8;
a:=n->8^(2^(n-1))*b(n);
seq(a(i), i=1..8);
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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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