A114134 - OEIS

A114134

Start with a(1) = 1. For n>1, choose a(n) to be the smallest number > a(n-1) consistent with the condition that "the a(n)-th digit is a 1" is true for all n.

1, 3, 10, 11, 12, 21, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 1111, 11111, 111111, 1111111, 11111111, 11111112, 11111113

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OFFSET

1,2

COMMENTS

There can be 1's in other positions too.

Sequence A098645 does not allow 1's in other positions, A210415 is a variant which does not impose a(n)>a(n-1). - M. F. Hasler, Oct 08 2013

LINKS

Table of n, a(n) for n=1..46.

Index to the OEIS: Entries related to self-referencing sequences.

EXAMPLE

The first digit of the sequence is a "1", the 3rd digit also, then the 10th, the 11th, etc.

CROSSREFS