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Search: id:A087044
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| A087044 |
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Decimal expansion of a number x such that adding exp(1) to each of the partial quotients of the continued fraction of x evaluates to x+2. |
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+0
2
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| 9, 8, 6, 2, 4, 9, 0, 1, 5, 0, 4, 4, 8, 5, 9, 3, 3, 6, 3, 7, 0, 0, 3, 4, 7, 4, 3, 0, 0, 5, 8, 8, 2, 7, 8, 2, 3, 1, 1, 3, 2, 5, 3, 4, 2, 6, 0, 8, 6, 4, 6, 3, 3, 0, 1, 5, 5, 9, 5, 1, 4, 9, 4, 2, 1, 5, 8, 8, 4, 1, 2, 6, 7, 7, 7, 6, 1, 5, 0, 8, 1, 0, 5, 1, 5, 3, 9, 1, 6, 4, 8, 3, 8, 1, 1, 0, 0, 7, 5, 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 of x is [2; 1, 71, 1, 2, 1, 1, 2, 19, 21, 2, 1, 1, ...] and [0+e; 1+e, 71+e, 1+e, 2+e, 1+e, 1+e, 2+e, 19+e, 21+e, 2+e, 1+e, 1+e, ...] = [2; 1, 71, 1, 2, 1, 1, 2, 19, 21, 2, 1, 1, 1, 3, 9, ...] = x+2.
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EXAMPLE
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x=0.986249015044859336370034743005882782311325342608646330155951494215884126777
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CROSSREFS
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Cf. A087043.
Sequence in context: A059069 A084660 A002391 this_sequence A105415 A082124 A132721
Adjacent sequences: A087041 A087042 A087043 this_sequence A087045 A087046 A087047
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KEYWORD
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nonn,cons
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 02 2003
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