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Search: id:A081087
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| A081087 |
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Decimal expansion of the number whose simple continued fraction (A081086) has the smallest partial quotients such that the fractional remainders sum to unity. |
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+0
2
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| 4, 0, 4, 2, 5, 0, 3, 5, 0, 3, 0, 7, 4, 3, 6, 9, 4, 7, 0, 8, 6, 9, 8, 7, 0, 4, 7, 5, 9, 4, 0, 1, 6, 6, 1, 1, 8, 1, 2, 1, 4, 6, 8, 0, 5, 8, 9, 3, 7, 1, 8, 9, 0, 8, 4, 4, 2, 7, 3, 9, 1, 6, 5, 4, 5, 4, 0, 0, 8, 5, 0, 3, 1, 7, 4, 2, 8, 2, 4, 8, 7, 0, 4, 6, 8, 2, 1, 6, 5, 5, 1, 0, 7, 8, 6, 0, 4, 2, 3, 3, 6, 7, 1, 1
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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Sum of fractional remainders of the continued fraction of this constant equals unity: 1 = [0;2,2,9,91,14201,...] + [0;2,9,91,14201,...] + [0;9,91,14201,...] + [0;91,14201,...] + [0;14201,...] + ... = .40425035 + .47371461 + .11097560 + .01098900 + .00007041 + ...
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EXAMPLE
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0.404250350307436947...
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CROSSREFS
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Cf. A081086 (continued fraction).
Cf. A081088, A081089, A081090.
Adjacent sequences: A081084 A081085 A081086 this_sequence A081088 A081089 A081090
Sequence in context: A123583 A140574 A010636 this_sequence A135031 A016680 A062524
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KEYWORD
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cons,nonn
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AUTHOR
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Hans Havermann (pxp(AT)rogers.com) and Paul D. Hanna (pauldhanna(AT)juno.com), Mar 05 2003
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