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Search: id:A087042
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| A087042 |
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Decimal expansion of a number x such that adding Pi to each of the partial quotients of the continued fraction of x evaluates to x+3. |
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+0
2
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| 2, 9, 9, 6, 3, 4, 7, 2, 5, 7, 9, 2, 9, 8, 4, 9, 3, 4, 6, 7, 8, 1, 1, 9, 7, 4, 2, 2, 5, 5, 1, 5, 0, 0, 6, 6, 7, 6, 4, 7, 1, 4, 6, 8, 8, 4, 1, 8, 3, 7, 5, 8, 6, 8, 8, 9, 6, 7, 5, 7, 3, 2, 5, 9, 9, 3, 5, 0, 1, 3, 8, 9, 9, 6, 2, 3, 4, 3, 1, 3, 5, 0, 6, 5, 0, 2, 8, 2, 5, 3, 6, 9, 9, 4, 1, 8, 2, 4, 7, 2
(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 [0; 3, 2, 1, 26, 1, 2, 10, 1, 2, 1, 31, ...]; adding Pi to each partial quotient results in [0+Pi; 3+Pi, 2+Pi, 1+Pi, 26+Pi, 1+Pi, 2+Pi, 10+Pi, 1+Pi, 2+Pi, ...] = [3; 3, 2, 1, 26, 1, 2, 10, 1, 2, 1, 31, 1, ...] = x+3.
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EXAMPLE
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x=0.299634725792984934678119742255150066764714688418375868896757325993501389962
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CROSSREFS
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Cf. A087041.
Sequence in context: A021338 A021889 A016643 this_sequence A003678 A109322 A000587
Adjacent sequences: A087039 A087040 A087041 this_sequence A087043 A087044 A087045
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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), Aug 02 2003
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