A242010 Decimal expansion of sum_{k>=0} (log(3k+1)/(3k+1)-log(3k+2)/(3k+2)).

2, 2, 2, 6, 6, 2, 9, 8, 6, 9, 6, 8, 6, 0, 1, 5, 0, 9, 4, 8, 6, 6, 6, 0, 2, 6, 2, 7, 6, 4, 7, 4, 4, 3, 6, 1, 8, 8, 6, 5, 7, 1, 6, 1, 6, 0, 5, 7, 1, 5, 2, 4, 7, 8, 5, 1, 2, 9, 0, 0, 2, 6, 0, 0, 5, 3, 0, 7, 8, 9, 7, 6, 5, 9, 7, 2, 2, 0, 2, 4, 7, 4, 8, 2, 1, 8, 3, 4, 0, 4, 3, 2, 6, 7, 8, 0, 5, 4, 0, 8, 3, 1, 8, 2

Offset

0,1

Links

Table of n, a(n) for n=0..103.

Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 8.

Formula

(Pi/sqrt(3))*(log(Gamma(1/3)/Gamma(2/3)) - (1/3)*(gamma + log(2*Pi))), where gamma is Euler's constant and Gamma(x) is the Euler Gamma function.

Example

-0.22266298696860150948666026276474436188657161605715247851290026...

Mathematica

RealDigits[(Pi/Sqrt[3])*(Log[Gamma[1/3]/Gamma[2/3]] - (1/3)*(EulerGamma + Log[2*Pi])), 10, 104] // First

Crossrefs

Cf. A073005, A073006.

Sequence in context: A094204 A088681 A078584 * A283673 A198472 A171698

Adjacent sequences: A242007 A242008 A242009 * A242011 A242012 A242013

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Aug 11 2014

Status

approved