login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A093053 Continued fraction expansion of a constant x such that the n-th partial quotient equals a(n) = floor(2^n*x), with a(0)=1. 1
1, 2, 5, 11, 23, 46, 93, 186, 372, 745, 1490, 2980, 5960, 11921, 23843, 47686, 95373, 190746, 381493, 762986, 1525973, 3051946, 6103893, 12207787, 24415575, 48831150, 97662301, 195324602, 390649204, 781298409, 1562596819, 3125193638 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Decimal expansion is given by A093054. The partial quotients of the continued fraction expansion of 2^m*x include many similar terms. For example, the continued fraction of 2*x is given by: [2;1,10,5,1,1,11,92,46,1,1,92,1,1,185,1,1,372,2980,1490,11920,5960,1,1,11921,95372,47686,1,1,95372,1,1,...].

LINKS

Table of n, a(n) for n=0..31.

EXAMPLE

x=[1;2,5,11,23,46,93,186,372,745,1490,2980,5960,11921,23843,...].

x=1.455281692832971051393034444524589699271213777825554774132070945742167...

MAPLE

{L=500; x=sqrt(2); for(i=1, 10, cf=vector(L, n, floor(x*2^(n-1))); cm=contfracpnqn(cf); x=cm[1, 1]/cm[2, 1])}

CROSSREFS

Cf. A093054.

Sequence in context: A179902 A140992 A248646 * A192580 A075712 A174162

Adjacent sequences:  A093050 A093051 A093052 * A093054 A093055 A093056

KEYWORD

cofr,nonn

AUTHOR

Paul D. Hanna, Mar 16 2004

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 19 23:31 EDT 2019. Contains 327207 sequences. (Running on oeis4.)