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Search: id:A092235
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| A092235 |
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Decimal expansion of a constant x with the property that when x is added to each of the partial quotients of the continued fraction of x, the resulting continued fraction has a value of 1. |
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+0
2
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| 5, 3, 1, 5, 1, 7, 1, 6, 3, 1, 8, 1, 8, 2, 2, 5, 4, 0, 1, 1, 3, 2, 5, 4, 1, 4, 9, 2, 7, 3, 1, 8, 8, 2, 2, 2, 8, 8, 8, 2, 1, 9, 9, 4, 4, 4, 4, 6, 6, 1, 2, 2, 3, 0, 3, 1, 6, 9, 8, 6, 6, 1, 6, 5, 6, 4, 7, 9, 0, 9, 5, 2, 4, 9, 3, 0, 0, 7, 6, 8, 6, 7, 7, 0, 3, 0, 3, 6, 7, 5, 2, 6, 3, 9, 9, 4, 1, 7, 1, 3, 1, 8, 5, 7, 0
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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The continued fraction expansion of the constant is given by A092234.
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EXAMPLE
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Given x = [0;1,1,7,2,3,5,2,1,3,2,3,1,1,1,1,1,2,1,2,1,1,2,...](A092234),
then 1 = [0+x;1+x,1+x,7+x,2+x,3+x,5+x,2+x,1+x,3+x,2+x,3+x,...]
where x = 0.53151716318182254011325414927318822288821994444661223031698661656479095249300768677030367526399417131857061006611...
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CROSSREFS
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Cf. A092234.
Sequence in context: A063268 A021657 A011332 this_sequence A130794 A023578 A111487
Adjacent sequences: A092232 A092233 A092234 this_sequence A092236 A092237 A092238
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KEYWORD
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cons,nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Feb 26 2004
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