cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A095205 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.

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%I A095205 #29 Feb 23 2020 13:54:37
%S A095205 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 A095205 32,54,76,98,120,345,678,190,234,567,809,21,354,687,901,243,576,890,
%U A095205 123,456,789,201,435,768,910,324,657,908,132,465,798,210,453,786,1029
%N A095205 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 A095205 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 A095205 Micah Manary, <a href="/A095205/b095205.txt">Table of n, a(n) for n = 0..1000</a>
%H A095205 Micah Manary, <a href="/A095205/a095205.txt">Python script for A095205</a>
%e A095205 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 A095205 Cf. A095204.
%K A095205 base,nonn
%O A095205 0,3
%A A095205 _Amarnath Murthy_, Jun 06 2004
%E A095205 Better definition and more terms from _Micah Manary_, Nov 13 2019