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Search: id:A086403
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| A086403 |
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Numerators in continued fraction representation of (e-1)/(e+1). |
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+0
1
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OFFSET
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1,2
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REFERENCES
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Calvin C. Clawson, "Mathematical Mysteries", Perseus, 1999, p. 225.
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FORMULA
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Partial quotients in continued fraction representation of (e-1)/(e+1) are A016825: [2, 6, 10, 14, 18...], the convergents being: [2] = 1/2, [2, 6] = 6/13, [2, 6, 10] = 61/132...etc.; denominators are A079165 starting with n=1: 2, 13, 132, 1861, 33630, 741721, 19318376... 2. a(n) = closest integer to [(e-1)/(e+1)]*A079165(n), n>0
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EXAMPLE
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a(4) = 860 = closest integer to[(e-1)/(e+1)]*A079165(4); = floor(860.0000292...) = 860. 860/1861 = [2, 6, 10, 14] = .462117141...; (e-1)/(e+1) = .462117157...
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CROSSREFS
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Cf. A016825, A079165.
Sequence in context: A034659 A064088 A047737 this_sequence A049120 A056546 A127695
Adjacent sequences: A086400 A086401 A086402 this_sequence A086404 A086405 A086406
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 18 2003
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