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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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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; listen)

	OFFSET	`1,1`
	COMMENT	`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.`
	MAPLE	`ContinuedFraction[(Khinchin + (4+Khinchin*Khinchin)^(1/2))/2, 130]`
	CROSSREFS	`Cf. A100485, A002210.` `Sequence in context: A156487 A024218 A049661 this_sequence A139882 A139874 A155032` `Adjacent sequences: A100608 A100609 A100610 this_sequence A100612 A100613 A100614`
	KEYWORD	`base,cofr,nonn`
	AUTHOR	`Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 01 2004`

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.

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