A375232 Two terms that contain the digit "d" are always separated by "d" terms that do not contain the digit "d". This is the lexicographically earliest sequence of distinct nonnegative integers with this property.

0, 10, 20, 100, 30, 102, 40, 101, 203, 105, 60, 1024, 300, 107, 200, 150, 304, 1026, 80, 109, 230, 10457

Offset

1,2

Comments

The sequence is finite, there is no 23rd term.

Links

Table of n, a(n) for n=1..22.

Eric Angelini, Digits and gaps, personal blog of the author.

Example

As we start the sequence with a(1) = 0, the digit 0 must be present in every term of the sequence.
We extend it now with a(2) = 10 as 10 is the smallest integer not present that contains the digit 0.
The next term will be a(3) = 20 as 20 is the smallest integer not present that contains the digit 0.
The next term will be a(4) = 100 as 100 is the smallest integer not present that contains both the digits 0 and 1.
The next term will be a(5) = 30 as 30 is the smallest integer not present that contains the digit 0.
The next term will be a(6) = 102 as 102 is the smallest integer not present that contains the digits 0, 1 and 2.
The next term will be a(7) = 40 as 40 is the smallest integer not present that contains the digit 0.
The next term will be a(8) = 101 as 101 is the smallest integer not present that contains both the digits 0 and 1.
Etc.

Crossrefs

Cf. A284516.

Sequence in context: A276764 A215878 A200985 * A375243 A166641 A101244

Adjacent sequences: A375229 A375230 A375231 * A375233 A375234 A375235

Keyword

nonn,base,fini,full

Author

Eric Angelini and Jean-Marc Falcoz, Aug 06 2024

Extensions

a(14) and successive terms computed by Michael S. Branicky.

Status

approved