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A196525 Decimal expansion of log(1+sqrt(2))/sqrt(2). 1
6, 2, 3, 2, 2, 5, 2, 4, 0, 1, 4, 0, 2, 3, 0, 5, 1, 3, 3, 9, 4, 0, 2, 0, 0, 8, 0, 2, 5, 0, 5, 6, 8, 0, 0, 2, 6, 5, 0, 6, 9, 5, 3, 1, 2, 3, 4, 6, 5, 6, 7, 2, 5, 2, 8, 9, 8, 7, 1, 4, 7, 7, 6, 0, 9, 6, 1, 7, 0, 0, 0, 4, 5, 4, 7, 0, 1, 4, 1, 8, 0, 4, 6, 7, 6, 6, 9, 0, 7, 3, 2, 3, 5, 6, 2, 6, 6 (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

R. J. Mathar, Table of Dirichlet L-series and Prime Zeta Modulo Functions for Small Moduli, arXiv:1008.2547 [math.NT], 2010-2015, Table section 2.2, L(m=8, r=2, s=1).

FORMULA

Equals Sum_{n>=1} A091337(n)/n = 1 - 1/3 - 1/5 + 1/7 + 1/9 - 1/11 - ...

Equals 2*Sum_{n>=1} (-1)^n/A001539(n). - Michel Marcus, Sep 27 2017

EXAMPLE

0.6232252401402305133940200802505680... = A091648/A002193.

MATHEMATICA

RealDigits[Log[1+Sqrt[2]]/Sqrt[2], 10, 120][[1]] (* Harvey P. Dale, Dec 27 2011 *)

PROG

(PARI) log(sqrt(2)+1)/sqrt(2) \\ Michel Marcus, Sep 27 2017

(MAGMA) SetDefaultRealField(RealField(100)); Log(Sqrt(2)+1)/Sqrt(2); // G. C. Greubel, Oct 05 2018

CROSSREFS

Cf. A002193, A001539, A091648, A181048.

Sequence in context: A196552 A062614 A155527 * A300892 A291359 A055942

Adjacent sequences:  A196522 A196523 A196524 * A196526 A196527 A196528

KEYWORD

nonn,cons,easy

AUTHOR

R. J. Mathar, Oct 03 2011

STATUS

approved

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Last modified April 21 07:53 EDT 2019. Contains 322327 sequences. (Running on oeis4.)