A126968 First digit of a(n) is the a(n)-th digit of S [a(n+1) is the smallest available integer not yet present in S].

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 21, 14, 31, 22, 15, 16, 41, 32, 17, 23, 24, 18, 51, 19, 61, 42, 111, 33, 25, 112, 71, 26, 34, 27, 43, 113, 81, 52, 114, 115, 91, 62, 116, 44, 28, 117, 118, 119, 35, 36, 29, 53, 121, 122, 211, 72, 123, 212, 63, 37, 45

Offset: 0

Author

Eric Angelini, Mar 22 2007

Keywords

• nonn
• base
• changed

Comments

An example of what logologists call a "self-acronymic" sequence.

Except for the initial term, the sequence consists only of zeroless numbers A052382, since no other term can start with a digit 0. - M. F. Hasler, Jan 19 2015

Examples

			The first integer of S starts with the first digit of S: 0,
the second integer of S starts with the second digit of S: 1,
the third integer of S starts with the third digit of S: 2,
the fourth integer of S starts with the fourth digit of S: 3,
the fifth integer of S starts with the fifth digit of S: 4,
the sixth integer of S starts with the sixth digit of S: 5,
the 7th integer of S starts with the 7th digit of S: 6,
...
the 11th integer of S ("11") starts with the 11th dig. of S : 1,
the 12th integer of S ("12") starts with the 12th dig. of S : 1,
the 13th integer of S ("13") starts with the 13th dig. of S : 1,
the 14th integer of S ("21") starts with the 14th dig. of S : 2, ...
		

Links

• Hans Havermann, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A126969.

Extensions

Corrected and edited by Eric Angelini, Dec 05 2011

Corrected and extended by Hans Havermann, Jan 19 2015