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Search: id:A085117
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| A085117 |
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Decimal expansion of largest Stoneham number S(3,2). |
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+0
3
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| 0, 5, 8, 6, 6, 1, 0, 2, 8, 7, 3, 4, 3, 3, 7, 2, 9, 6, 5, 8, 4, 2, 2, 5, 5, 4, 8, 0, 8, 1, 5, 1, 1, 3, 2, 6, 2, 4, 1, 8, 5, 8, 6, 1, 0, 7, 8, 2, 2, 6, 5, 9, 8, 3, 4, 3, 6, 1, 2, 1, 1, 0, 1, 7, 3, 6, 3, 0, 2, 5, 1, 0, 5, 2, 5, 6, 6, 0, 2, 6, 3, 5, 7, 4, 9, 5, 2, 5, 7, 5, 6, 2, 6, 4, 8, 1, 6, 4, 2, 9, 5, 6, 6, 6
(list; cons; graph; listen)
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OFFSET
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0,2
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COMMENT
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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
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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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FORMULA
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S(3, 2)=sum(k>=1, 1/3^(2^k)/2^k) = 0.0586610287343372...
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PROGRAM
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(PARI) sum(k=1, 6, 1./3^(2^k)/2^k)
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CROSSREFS
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Cf. A085137.
Sequence in context: A011495 A136258 A102519 this_sequence A160043 A145432 A070371
Adjacent sequences: A085114 A085115 A085116 this_sequence A085118 A085119 A085120
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KEYWORD
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cons,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 10 2003
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