A143347 - OEIS (original) (raw)

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

COMMENTS

Named "the Gaussian Liouville number" by Borwein and Coons (2008). - Amiram Eldar, Apr 29 2021

REFERENCES

Chandler Davis and Donald E. Knuth, Number Representations and Dragon Curves -- I and II, Journal of Recreational Mathematics, volume 3, number 2, April 1970, pages 66-81, and number 3, July 1970, pages 133-149. Reprinted in Donald E. Knuth, Selected Papers on Fun and Games, CSLI Publications, 2010, pages 571-614.

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, section 6.8.5 Paper Folding, pages 439-440.

LINKS

Chandler Davis and Donald E. Knuth, Number Representations and Dragon Curves, Journal of Recreational Mathematics, volume 3, number 2, April 1970, pages 66-81, and number 3, July 1970, pages 133-149. [Cached copy, with permission]

EXAMPLE

0.85073618820186726036...

MATHEMATICA

RealDigits[ N[ Sum[ 8^2^k/(2^2^(k + 2) - 1), {k, 0, Infinity}], 110]][[1]][[1 ;; 105]] (* Jean-François Alcover, Oct 26 2012 *)

PROG

(PARI) default(realprecision, 510);

c=sum(k=0, 10, 1.0/( 2^(2^k) * ( 1 - 1/(2^(2^(k+2))) ) ) )