Weekend Challenge Sharpened: Missing Positions in Champernowne's Constant

08082015, 03:53 AM
Post: #8




RE: Weekend Challenge Sharpened: Missing Positions in Gods' Triangle
This number is called "Champernowne's Number" after the guy who proved that it was a normal number. A normal number has the proper frequency of digits. Almost all numbers are normal, but few are known to be so. All the known ones are made by concatenation of various things. An absolutely normal number has the proper frequency of single digits, double digits, etc. The number in the OP has this property.
1,2,3,4,5,6,7,8,9,10,11,12..... is the construction. It's also possible in base 2: 0,1,10,11,100,101.... or 011011100101..... 

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