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A085117
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Decimal expansion of largest Stoneham number S(3,2).
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2
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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, 2, 3, 9, 8, 9, 2, 9, 9, 6, 5, 4, 6, 3, 9, 8, 4, 6, 3, 6, 9, 1, 6, 5, 1, 2, 3, 5, 9, 4, 5, 3, 9, 9, 3, 3, 9, 7, 8, 0, 7, 8, 9
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OFFSET
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0,2
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COMMENTS
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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.
Named after the mathematician Richard G. Stoneham (1920-1996). - Amiram Eldar, May 09 2022
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LINKS
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FORMULA
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S(3, 2) = Sum_{k>=1} 1/3^(2^k)/2^k.
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EXAMPLE
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0.0586610287343372...
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MATHEMATICA
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digits = 103; Clear[s]; s[n_] := s[n] = Sum[1/3^(2^k)/2^k, {k, 1, n}] // RealDigits[#, 10, digits]& // First // Prepend[#, 0]&; s[1]; s[n=2]; While[s[n] != s[n-1], n++]; s[n] (* Jean-François Alcover, Feb 15 2013 *)
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PROG
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(PARI) sum(k=1, 6, 1./3^(2^k)/2^k)
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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