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A100611 Continued fraction expansion of (Khinchin + (4+Khinchin*Khinchin)^(1/2))/2 [A100485], where Khinchin is Khinchin's constant (A002210). 0
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; text; internal format)
OFFSET

1,1

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.

LINKS

Table of n, a(n) for n=1..103.

MAPLE

ContinuedFraction[(Khinchin + (4+Khinchin*Khinchin)^(1/2))/2, 130]

CROSSREFS

Cf. A100485, A002210.

Sequence in context: A049661 A295409 A184950 * A139882 A139874 A155032

Adjacent sequences:  A100608 A100609 A100610 * A100612 A100613 A100614

KEYWORD

base,cofr,nonn

AUTHOR

Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 01 2004

STATUS

approved

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Last modified June 19 11:31 EDT 2019. Contains 324219 sequences. (Running on oeis4.)