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A085137
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Binary expansion of largest Stoneham number S(3,2).
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2
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0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| David H. Bailey and Richard E. Crandall proved that Stoneham numbers S(b,c)=sum(k>=1,1/b^(c^k)/c^k) are b-normal under the simple condition b,c > 1 and coprime. So the present number is 2-normal.
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REFERENCES
| David H. Bailey and Richard E. Crandall, Random Generators and Normal Numbers, 2000
R. Stoneham, On the Uniform Epsilon-Distribution of residues Within the Periods of Rational Fractions with Applications to Normal Numbers, Acta Arithmetica 22 (1973), 371-389
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LINKS
| David H. Bailey and Richard E. Crandall, Random Generators and Normal Numbers, Experimental Mathematics, vol. 11, no. 4 (2004), pg 527-546; LBNL-46263.
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FORMULA
| S(3, 2)=0.000011110..
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PROG
| (PARI) binary(sum(k=1, 6, 1./3^(2^k)/2^k))
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CROSSREFS
| Cf. A085117.
Sequence in context: A000493 A011663 A091247 * A130543 A160753 A024360
Adjacent sequences: A085134 A085135 A085136 * A085138 A085139 A085140
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KEYWORD
| cons,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 10 2003
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