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Search: id:A092234
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| A092234 |
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Continued fraction expansion of a constant x with the property that when x is added to each of these partial quotients, the resulting continued fraction has a value of 1. |
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+0
2
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| 0, 1, 1, 7, 2, 3, 5, 2, 1, 3, 2, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 33, 12, 3, 1, 2, 3, 1, 4, 37, 1, 1, 5, 1, 25, 7, 4, 1, 1, 1, 1, 3, 1, 3, 2, 3, 1, 9, 2, 1, 3, 1, 3, 5, 2, 79, 7, 1, 1, 5, 3, 1, 10, 1, 1, 4, 2, 3, 3, 2, 1, 6, 1, 1, 5, 1, 98, 2, 3, 1, 2, 1, 11, 1, 14, 7, 16, 2, 1, 1, 9, 8, 2, 1, 1, 21, 1, 1, 1
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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More digits of the constant are given in A092235.
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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,...],
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,...]
and x = 0.5315171631818225401132541492731882228882199444466...
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CROSSREFS
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Cf. A092235.
Sequence in context: A163333 A116369 A155751 this_sequence A160101 A065476 A019945
Adjacent sequences: A092231 A092232 A092233 this_sequence A092235 A092236 A092237
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KEYWORD
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cofr,nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Feb 26 2004
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