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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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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MAPLE
| ContinuedFraction[(Khinchin + (4+Khinchin*Khinchin)^(1/2))/2, 130]
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CROSSREFS
| Cf. A100485, A002210.
Sequence in context: A024218 A049661 A184950 * A139882 A139874 A155032
Adjacent sequences: A100608 A100609 A100610 * A100612 A100613 A100614
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KEYWORD
| base,cofr,nonn
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AUTHOR
| Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 01 2004
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