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A174608 Decimal expansion (1/log(2))*sum(k>=0,log(1+1/2^k)=2.253... 0
2, 2, 5, 3, 5, 2, 4, 0, 3, 7, 9, 3, 4, 6, 9, 9, 6, 5, 9, 1, 2, 5, 5, 6, 1, 4, 5, 0, 3, 3, 4, 7, 8, 4, 6, 9, 7, 5, 4, 4, 8, 7, 3, 7, 4, 1, 1, 4, 2, 2, 6, 8, 5, 0, 6, 2, 1, 0, 4, 7, 9, 7, 7, 4, 9, 5, 5, 6, 5, 6, 8, 3, 8, 8, 0, 8, 2, 7, 1, 2, 3, 4, 8, 6, 1, 4, 7, 9, 3, 1, 6, 6, 1, 8, 8, 0, 0, 2, 9, 8, 6, 7, 2, 0, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..105.

Brigitte Vallée, Digits and continuants in Euclidean algorithms. Ergodic vs tauberian theorems, Journal de théorie des nombres de Bordeaux 12 (2000), 519-558.

FORMULA

Equals log(A081845)/A002162 . [R. J. Mathar, Apr 20 2010]

MATHEMATICA

digits = 105; 1/Log[2]*NSum[Log[1 + 1/2^k], {k, 0, Infinity}, WorkingPrecision -> digits, NSumTerms -> 70] // RealDigits[#, 10, digits]& // First (* Jean-François Alcover, Feb 15 2013 *)

CROSSREFS

Sequence in context: A308515 A128134 A157223 * A130327 A224361 A286109

Adjacent sequences:  A174605 A174606 A174607 * A174609 A174610 A174611

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, Mar 23 2010

STATUS

approved

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Last modified June 25 22:10 EDT 2019. Contains 324357 sequences. (Running on oeis4.)