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

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

Cf. A098670. See A098645 for another version.

Cf. A210414-A210423.

Sequence in context: A104702 A106596 A024575 * A167519 A372120 A357708

Adjacent sequences: A114131 A114132 A114133 * A114135 A114136 A114137

Keyword

base,easy,nonn

Author

Eric Angelini, Oct 27 2004

Extensions

Entry revised by Eric Angelini and N. J. A. Sloane, Feb 03 2006.

More terms from Rick L. Shepherd, Feb 05 2006

Status

approved