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

Author

Eric Angelini and Jean-Marc Falcoz, Mar 28 2017

Keywords

• nonn
• base

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.

Examples

			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".
		

Links

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

Crossrefs

Cf. A284591 (full inside numbers).