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a(n) is the least natural number not included earlier having all decimal digits except the digits in n; if n is pandigital or zeroless pandigital, a(n) is simply the least natural number not included earlier.
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%I #7 Jun 20 2017 23:29:03

%S 123456789,203456789,103456789,102456789,102356789,102346789,

%T 102345789,102345689,102345679,102345678,23456789,203456798,30456789,

%U 20456789,20356789,20346789,20345789,20345689,20345679,20345678,13456789

%N a(n) is the least natural number not included earlier having all decimal digits except the digits in n; if n is pandigital or zeroless pandigital, a(n) is simply the least natural number not included earlier.

%C A rearrangement of the natural numbers by definition as there are an infinite number of pandigital numbers (A171102) and zeroless pandigital numbers (A050289).

%C Leading zeros are not permitted. The "zeroless pandigital" criterion is used also because there is just one number with the digit 0 only and we wish all terms to be distinct.

%C What values are a(A050289(1)) = a(123456789) and a(A171102(1)) = a(1023456789)?

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%e For n = 0, a(0) = 123456789, the least natural number containing all decimal digits but the digit 0.

%e For n = 11, a(11) = 203456798, which has all decimal digits but the digit 1 and is the first such number with that property that is larger than 203456789 (= a(1)).

%Y Cf. A050289, A171102.

%K nonn,base

%O 0,1

%A _Rick L. Shepherd_, Jun 19 2017