login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A100611 Continued fraction expansion of (Khinchin + (4+Khinchin*Khinchin)^(1/2))/2 [A100485], where Khinchin is Khinchin's constant (A002210). 0

%I #3 Jan 18 2022 05:18:07

%S 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,

%T 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,

%U 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

%N Continued fraction expansion of (Khinchin + (4+Khinchin*Khinchin)^(1/2))/2 [A100485], where Khinchin is Khinchin's constant (A002210).

%C 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.

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

%Y Cf. A100485, A002210.

%K base,cofr,nonn

%O 1,1

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 07:38 EDT 2024. Contains 371782 sequences. (Running on oeis4.)