A081315 Lexicographically earliest sequence of positive integers such that n occurs a(n)-1 times, starting at n=0.

1, 2, 3, 2, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18

Offset

0,2

Links

Table of n, a(n) for n=0..77.

Example

a(2)=3 because 2 appears a total of 3 times in the two sequences: once in A001477, once as a(1) in this sequence and once as a(3). The number 2 cannot be chosen as a(2) because that would mark the third appearance of 2, creating a contradiction; neither a(2)=3 nor the subsequent a(3)=2 creates any contradiction, however.

Crossrefs

Sequence for positive integers is A081316, see also A001462.

Sequence in context: A235728 A205546 A322348 * A035662 A249870 A325404

Adjacent sequences: A081312 A081313 A081314 * A081316 A081317 A081318

Keyword

easy,nonn

Author

Matthew Vandermast, Mar 17 2003

Extensions

Definition edited by Benoit Jubin, May 01 2010

Status

approved