A171083 A "run" means a maximal string of increasing numbers; this sequence has the property that the sequence of run lengths is the sequence itself and all natural numbers appear exactly once.

2, 3, 1, 4, 7, 6, 5, 8, 9, 11, 10, 12, 13, 14, 15, 16, 18, 17, 19, 20, 21, 22, 24, 23, 25, 26, 27, 29, 28, 30, 31, 32, 33, 34, 35, 37, 36, 38, 39, 40, 41, 42, 43, 44, 46, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 56, 58, 59, 60, 61, 62, 63, 64, 65, 67, 66

Offset

1,1

Links

Lars Blomberg, Table of n, a(n) for n = 1..10000

Eric Angelini, Runs

E. Angelini, Runs [Cached copy, with permission]

Example

Here is the same sequence with stars demarking the runs: 2, 3, * 1, 4, 7, * 6, * 5, 8, 9, 11, * 10, 12, 13, 14, 15, 16, 18, * 17, 19, 20, 21, 22, 24, * 23, 25, 26, 27, 29, * 28, 30, 31, 32, 33, 34, 35, 37, * 36, 38, 39, 40, 41, 42, 43, 44, 46, * 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, * 56, ...

Crossrefs

Cf. A171084-A171087.

Sequence in context: A111776 A189187 A299714 * A364602 A258579 A263757

Adjacent sequences: A171080 A171081 A171082 * A171084 A171085 A171086

Keyword

nonn

Author

N. J. A. Sloane, Sep 07 2010, based on a posting to the Sequence Fans Mailing List by Eric Angelini, Aug 23 2010.

Extensions

a(58)-a(66) from Lars Blomberg, Nov 23 2013

Status

approved