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A100611
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Continued fraction expansion of (Khinchin + (4+Khinchin*Khinchin)^(1/2))/2 [A100485], where Khinchin is Khinchin's constant (A002210).
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0
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3, 59, 8, 1, 2, 1, 1, 1, 1, 1, 2, 6, 1, 1, 3, 2, 1, 7, 1, 3, 2, 8, 5, 1, 3, 2, 6, 1, 2, 2, 2, 7, 1, 1, 3, 1, 10, 3, 1, 1, 3, 1, 1, 1, 2, 2, 3, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 9, 2, 1, 21, 3, 1, 1, 2, 1, 13, 1, 3, 1, 1, 1, 1, 2, 2, 1, 3, 5, 1, 1, 2, 1, 3, 1, 1, 6, 4, 2, 1, 2, 1, 2, 9, 5, 16, 4, 1, 2, 2, 4
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OFFSET
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1,1
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COMMENTS
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The geometric mean of the first 5000 partial quotients (Product[a(n),{n,1,5000}]^(1/5000)), approximately 2.6289, suggests this constant's partial quotients do indeed converge to Khinchin's constant.
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LINKS
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MATHEMATICA
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ContinuedFraction[(Khinchin + (4+Khinchin*Khinchin)^(1/2))/2, 130]
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CROSSREFS
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KEYWORD
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base,cofr,nonn
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 01 2004
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STATUS
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approved
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