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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A159671 Continued fraction expansion of Landau's constant L. 1
0, 1, 1, 5, 3, 1, 1, 2, 1, 1, 6, 3, 1, 8, 11, 2, 1, 1, 27, 4, 1, 1, 2, 3, 3, 3, 1, 1, 4, 1, 3, 11, 1, 1, 3, 1, 1, 1, 2, 3, 26, 10, 3, 1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 7, 4, 1, 2, 2, 1, 1, 6, 2, 10, 2, 6, 6, 1, 3, 1, 2, 4, 2, 1, 2, 5, 1, 1, 1, 1, 1, 4, 11, 9, 1, 1, 1, 2, 1, 2, 5, 2, 4, 1, 48, 1, 8, 1, 8, 7, 1, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Terms are computed using the conjectured formula.

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..1000

FORMULA

It is conjectured that L = 0.5432589653429767... = Gamma(1/3)*Gamma(5/6)/Gamma(1/6).

EXAMPLE

L = 0.543258965342976706952728...= 0 + 1/(1 + 1/(1 + 1/(5 + 1/(3 + ...)))).

PROG

(PARI) { default(realprecision, 1080); x=contfrac(gamma(1/3)*gamma(5/6)/gamma(1/6)); d=0; for (n=0, 1000, write("b159671.txt", n, " ", x[n+1])); }

CROSSREFS

Sequence in context: A111142 A179626 A174965 * A094853 A096937 A097527

Adjacent sequences:  A159668 A159669 A159670 * A159672 A159673 A159674

KEYWORD

nonn

AUTHOR

Harry J. Smith, Apr 19 2009

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 November 21 11:35 EST 2019. Contains 329370 sequences. (Running on oeis4.)