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%I #29 Feb 23 2020 13:54:37
%S 0,1,2,3,4,5,6,7,8,9,10,23,45,67,89,102,34,56,78,90,12,43,65,87,109,
%T 32,54,76,98,120,345,678,190,234,567,809,21,354,687,901,243,576,890,
%U 123,456,789,201,435,768,910,324,657,908,132,465,798,210,453,786,1029
%N Least nonnegative integer not already in the sequence such that the frequency of digits in the entire sequence is as close to a uniform distribution as possible. A difference in frequency of at most 1 across all digits is allowed, and that difference must always be in favor of digits closer to 0.
%C Obviously no term contains identical digits and eventually for some m, a(m) = 1023456789 = a(n) for all n > m. Let d = number of numbers containing all distinct digits, using digits 0 to 9, then is it conjectured that: m is not equal to d, i.e., m < d. Question: what is m?
%H Micah Manary, <a href="/A095205/b095205.txt">Table of n, a(n) for n = 0..1000</a>
%H Micah Manary, <a href="/A095205/a095205.txt">Python script for A095205</a>
%e After 89 the next term is 102. It is not 11 or 12 as 0 has to occur first, it is not 20 as 1 has to occur earlier to 2.
%Y Cf. A095204.
%K base,nonn
%O 0,3
%A _Amarnath Murthy_, Jun 06 2004
%E Better definition and more terms from _Micah Manary_, Nov 13 2019
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