A284515 "Inside numbers". Pick a term "t" and one of its digits "d". Now jump to the right over d digits if "d" is odd, and to the left over d digits if "d" is even. Whatever the "d" you choose, you will stay on "t".

100, 1000, 1002, 1100, 1102, 10000, 10002, 10020, 10022, 10100, 10102, 10120, 10122, 11000, 11002, 11020, 11022, 11100, 11102, 11120, 11122, 30000, 30002, 30020, 30022, 30100, 30102, 30120, 30122, 31000, 31002, 31020, 31022, 31100, 31102, 31120, 31122, 100000, 100002, 100004, 100020, 100022, 100024, 100100, 100102, 100104, 100120

Offset

1,1

Comments

The sequence is started with a(1) = 100 and always extended with the smallest integer not yet present and not leading to a contradiction.

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..2441

Example

Pick the digit "1" of the first term, 100. This "1" says that you should jump over 1 digit to the right (as "1" is odd). You'll land on the second "0" of 100.
Pick the leftmost digit "0" of the same term, 100. This "0" says that you should jump over 0 digit to the left (as "0" is even). You slide (land) on the "1" of 100.
Pick the rightmost digit "0" of 100. This "0" says that you should jump over 0 digit to the left (as "0" is even). You slide (land) on the first "0" of 100.
We see that any of those possible three movements leaves you "inside" the chosen term "t".

Crossrefs

Cf. A284591 (full inside numbers).

Sequence in context: A232657 A287027 A326638 * A068086 A115691 A066432

Adjacent sequences: A284512 A284513 A284514 * A284516 A284517 A284518

Keyword

nonn,base

Author

Eric Angelini and Jean-Marc Falcoz, Mar 28 2017

Status

approved