Search: id:A085138
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%I A085138
%S A085138 0,0,0,0,0,1,6,9,3,5,0,8,7,8,0,8,4,3,0,2,8,6,7,1,1,0,3,6,5,9,6,7,2,4,
%T A085138 7,5,4,0,1,7,8,4,9,5,8,2,5,5,0,2,7,9,5,5,4,7,1,5,1,8,0,8,3,6,2,3,1,6,4,
%U A085138 9,5,8,5,4,1,6,3,4,0,4,7,2,8,2,8,2,6,1,8,0,3,5,4,6,5,8,1,6,9,7,1,8,7,2
%N A085138 Decimal expansion of largest "base 10" Stoneham number.
%C A085138 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 normal in base 10.
%D A085138 David H. Bailey and Richard E. Crandall, Random Generators and Normal 
               Numbers, 2000
%D A085138 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
%F A085138 S(3, 10)=0.00000169350878084302...
%o A085138 (PARI) sum(k=1,5,1./3^(10^k)/10^k)
%Y A085138 Cf. A085117, A085137.
%Y A085138 Sequence in context: A013707 A002162 A072365 this_sequence A153872 A155784 
               A143735
%Y A085138 Adjacent sequences: A085135 A085136 A085137 this_sequence A085139 A085140 
               A085141
%K A085138 cons,nonn
%O A085138 0,7
%A A085138 Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 10 2003

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