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A143347
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Decimal expansion of the paper-folding constant, or the dragon constant.
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1
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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
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OFFSET
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0,1
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COMMENTS
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Named "the Gaussian Liouville number" by Borwein and Coons (2008). - Amiram Eldar, Apr 29 2021
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REFERENCES
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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.
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LINKS
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FORMULA
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EXAMPLE
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0.85073618820186726036...
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MATHEMATICA
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RealDigits[ N[ Sum[ 8^2^k/(2^2^(k + 2) - 1), {k, 0, Infinity}], 110]][[1]][[1 ;; 105]] (* Jean-François Alcover, Oct 26 2012 *)
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PROG
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(PARI) default(realprecision, 510);
c=sum(k=0, 10, 1.0/( 2^(2^k) * ( 1 - 1/(2^(2^(k+2))) ) ) )
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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