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Search: id:A116984
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| A116984 |
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Denominators of the convergents to log_2(5). |
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+0
3
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| 1, 3, 28, 59, 146, 643, 4004, 8651, 12655, 21306, 76573, 97879, 1838395, 1936274, 13456039, 15392313, 44240665, 59632978, 103873643, 475127550, 579001193, 24793177656, 149338067129, 174131244785, 845863046269, 1865857337323
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OFFSET
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1,2
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COMMENT
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This sequence defines equal divisions of the octave with especially accurate values for the major third, 5/4. This sequence is related to A112732, denominators of the convergents for the continued fraction for log2(5)/4.
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MATHEMATICA
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Table[Denominator[FromContinuedFraction[ContinuedFraction[Log[2, 5], n]]], {n, 1, 40}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 08 2006
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CROSSREFS
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Cf. A116985, A046103, A046104, A112732.
Sequence in context: A042169 A041785 A046104 this_sequence A061793 A107651 A100019
Adjacent sequences: A116981 A116982 A116983 this_sequence A116985 A116986 A116987
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KEYWORD
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nonn,frac
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AUTHOR
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Gene Ward Smith (genewardsmith(AT)gmail.com), Mar 27 2006
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 08 2006
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