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

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A261622 Decimal expansion of the Dirichlet beta function at 1/3. 3
 6, 1, 7, 8, 5, 5, 0, 8, 8, 8, 4, 8, 8, 5, 2, 0, 6, 6, 0, 7, 2, 5, 3, 8, 9, 9, 4, 7, 2, 7, 9, 9, 3, 1, 6, 5, 7, 1, 0, 6, 2, 3, 5, 4, 7, 8, 9, 9, 3, 8, 6, 5, 0, 0, 2, 2, 5, 5, 1, 5, 2, 8, 2, 2, 9, 5, 6, 0, 7, 7, 8, 0, 5, 2, 7, 2, 5, 0, 4, 4, 6, 5, 4, 1, 0, 1, 3, 9, 3, 4, 6, 1, 5, 5, 3, 9, 9, 5, 7, 0, 3, 7, 5, 6, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS G. C. Greubel, Table of n, a(n) for n = 0..10000 Eric Weisstein's MathWorld, Dirichlet Beta Function Wikipedia, Dirichlet beta function FORMULA beta(1/3) = (zeta(1/3, 1/4) - zeta(1/3, 3/4))/2^(2/3). EXAMPLE 0.6178550888488520660725389947279931657106235478993865002255152822956... MAPLE evalf(Sum((-1)^n/(2*n+1)^(1/3), n=0..infinity), 120); # Vaclav Kotesovec, Aug 27 2015 MATHEMATICA RealDigits[DirichletBeta[1/3], 10, 105]//First CROSSREFS Cf. A003881 (beta(1)=Pi/4), A006752 (beta(2)=Catalan), A153071 (beta(3)), A175572 (beta(4)), A175571 (beta(5)), A175570 (beta(6)), A261623 (beta(1/4)), A261624 (beta(1/5)). Sequence in context: A274014 A334962 A082830 * A046902 A204205 A143019 Adjacent sequences: A261619 A261620 A261621 * A261623 A261624 A261625 KEYWORD cons,easy,nonn AUTHOR Jean-François Alcover, Aug 27 2015 STATUS approved

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.

Last modified December 6 01:58 EST 2023. Contains 367594 sequences. (Running on oeis4.)