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Search: id:A109696
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| A109696 |
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Decimal expansion of root of 1 - sum_{n=0..inf} 1/x^(2^n). |
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+0
1
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| 1, 7, 6, 6, 3, 9, 8, 1, 1, 4, 5, 5, 0, 1, 7, 3, 5, 9, 7, 2, 2, 8, 4, 8, 8, 3, 9, 2, 4, 4, 0, 0, 9, 9, 7, 3, 0, 2, 3, 2, 0, 6, 9, 2, 8, 7, 9, 5, 7, 0, 7, 2, 7, 7, 5, 2, 7, 8, 2, 8, 5, 0, 7, 4, 4, 0, 8, 3, 8, 4, 3, 4, 0, 5, 2, 4, 9, 8, 8, 3, 1, 1, 7, 9, 0, 4, 0, 6, 9, 7, 2, 7, 2, 0, 4, 5, 7, 9, 5, 8, 2, 4, 7, 9, 9
(list; cons; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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1.766398114550173597228488392440099730232069287957072775...
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MATHEMATICA
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RealDigits[ FindRoot[1 - Sum[1/(x^(2^n)), {n, 0, 8}] == 0, {x, 1.7}, WorkingPrecision -> 128][[1, 2]], 10, 128][[1]] (from Robert G. Wilson v (rgwv(at)rgwv.com), Aug 08 2005)
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PROGRAM
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(PARI) solve(x=1, 2, 1-sum(k=0, 8, 1./x^(2^k)))
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CROSSREFS
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This is the limit ratio between consecutive terms of A023359.
Sequence in context: A019859 A102769 A031348 this_sequence A110948 A103616 A073084
Adjacent sequences: A109693 A109694 A109695 this_sequence A109697 A109698 A109699
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KEYWORD
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cons,nonn
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AUTHOR
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Frank Adams-Watters (FrankTAW(AT)Netscape.net), Aug 07 2005
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