|
Search: id:A085137
|
|
|
| A085137 |
|
Binary expansion of largest Stoneham number S(3,2). |
|
+0
3
|
|
| 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; cons; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
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.
|
|
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
|
|
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.
|
|
FORMULA
|
S(3, 2)=0.000011110..
|
|
PROGRAM
|
(PARI) binary(sum(k=1, 6, 1./3^(2^k)/2^k))
|
|
CROSSREFS
|
Cf. A085117.
Sequence in context: A000493 A011663 A091247 this_sequence A130543 A024360 A025456
Adjacent sequences: A085134 A085135 A085136 this_sequence A085138 A085139 A085140
|
|
KEYWORD
|
cons,nonn
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 10 2003
|
|
|
Search completed in 0.003 seconds
|
