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A196530 Decimal expansion of log(2+sqrt(3))/sqrt(3). 1
7, 6, 0, 3, 4, 5, 9, 9, 6, 3, 0, 0, 9, 4, 6, 3, 4, 7, 5, 3, 1, 0, 9, 4, 2, 5, 4, 8, 8, 0, 4, 0, 5, 8, 2, 4, 2, 0, 1, 6, 2, 7, 7, 3, 0, 9, 4, 7, 1, 7, 6, 4, 2, 7, 0, 2, 0, 5, 7, 0, 6, 7, 0, 2, 6, 0, 0, 5, 5, 1, 2, 2, 6, 5, 4, 9, 1, 0, 7, 5, 3, 0, 2, 8, 4, 5, 8, 3, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Equals the value of the Dirichlet L-series of a non-principal character modulo 12 (A110161) at s=1.

REFERENCES

Jolley, Summation of series, Dover (1961), eq (83) page 16.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

R. J. Mathar, Table of Dirichlet L-series.., arXiv:1008.2547, Table in section 2.2, L(m=12,r=4,s=1).

FORMULA

Equals sum_{n>=1} A110161(n)/n.

EXAMPLE

0.7603459963009463475310942548.. = A065918/A002194.

MATHEMATICA

RealDigits[Log[2 + Sqrt[3]]/Sqrt[3], 10, 89][[1]] (* Bruno Berselli, Dec 20 2011 *)

CROSSREFS

Sequence in context: A198677 A154017 A100222 * A154850 A011236 A111508

Adjacent sequences:  A196527 A196528 A196529 * A196531 A196532 A196533

KEYWORD

nonn,cons,easy

AUTHOR

R. J. Mathar, Oct 03 2011

STATUS

approved

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Last modified May 23 14:50 EDT 2013. Contains 225606 sequences.