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Search: id:A041007
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| A041007 |
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Denominators of continued fraction convergents to sqrt(6). |
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+0
2
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| 1, 2, 9, 20, 89, 198, 881, 1960, 8721, 19402, 86329, 192060, 854569, 1901198, 8459361, 18819920, 83739041, 186298002, 828931049, 1844160100, 8205571449, 18255302998, 81226783441, 180708869880
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Sqrt(6) = 4/2 + 4/9 + 4/(9*89) + 4/(89*881) + 4/(881*8721),...; where sqrt(6) = 2.4494897427... and the sum of the first 5 terms of this series = 2.449489737... - Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 21 2007
Sqrt(6) = 2 + continued fraction [2, 4, 2, 4, 2, 4,...] = 4/2 + 4/9 + 4/(9*89) + 4/(89*881) + 4/(881*8721)... - Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 21 2007
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MAPLE
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with (numtheory): seq( nthnumer(cfrac(sin(Pi/4)*tan(Pi/3), 25), i)-nthdenom(cfrac(sin(Pi/4)*tan(Pi/3), 25), i), i=1..24 ); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 10 2007
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CROSSREFS
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Cf. A041006.
Sequence in context: A090398 A091941 A093835 this_sequence A002360 A100516 A041285
Adjacent sequences: A041004 A041005 A041006 this_sequence A041008 A041009 A041010
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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