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A056029
Champernowne's constant in base 2.
1
0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0
OFFSET
0,1
COMMENTS
"[I]t is unknown whether or not Champernowne's number, when written in base 2 (where it becomes 0.00011111100110101101...), is normal in base 2."
REFERENCES
Victor Klee and Stan Wagon, Old and New Unsolved Problems in Plane Geometry and Number Theory, The Dolciani Mathematical Expositions, Number Eleven, The Mathematical Association of America, 1991, page 251.
LINKS
Eric Weisstein's World of Mathematics, Champernowne Constant
EXAMPLE
0.00011111100110101101...
MATHEMATICA
First[RealDigits[ChampernowneNumber[], 2, 100, -1]] (* Paolo Xausa, Jun 21 2024 *)
CROSSREFS
Cf. A033307.
Sequence in context: A011659 A136036 A214210 * A204547 A072609 A185012
KEYWORD
easy,nonn,base,cons
AUTHOR
Robert G. Wilson v, Jul 24 2000
STATUS
approved