A288941 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.

123456789, 203456789, 103456789, 102456789, 102356789, 102346789, 102345789, 102345689, 102345679, 102345678, 23456789, 203456798, 30456789, 20456789, 20356789, 20346789, 20345789, 20345689, 20345679, 20345678, 13456789

Offset: 0

Author

Rick L. Shepherd, Jun 19 2017

Keywords

• nonn
• base

Comments

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

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.

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

Examples

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

Links

• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A050289, A171102.