A171086 A "run" means a maximal string of numbers that includes exactly one odd number; this sequence has the property that the sequence of run lengths is the sequence itself and all natural numbers appear exactly once.

1, 3, 2, 4, 5, 6, 7, 8, 10, 12, 9, 14, 16, 18, 20, 11, 22, 24, 26, 28, 30, 13, 32, 34, 36, 38, 40, 42, 15, 44, 46, 48, 50, 52, 54, 56, 17, 58, 60, 62, 64, 66, 68, 70, 72, 74, 19, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 21, 98, 100, 102, 104, 106, 108, 110

Offset

1,2

Links

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

Eric Angelini, Runs

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

Example

If we insert a carriage return just before each odd number, we get:
1,
3, 2, 4,
5, 6,
7, 8, 10, 12,
9, 14, 16, 18, 20,
11, 22, 24, 26, 28, 30,
13, 32, 34, 36, 38, 40, 42,
15, 44, 46, 48, 50, 52, 54, 56,
17, 58, 60, 62, 64, 66, 68, 70, 72, 74, ,
19, 76, 78,
...
where the first column is the sequence of odd numbers.

Crossrefs

Sequence in context: A373952 A035044 A359663 * A333324 A333470 A096135

Adjacent sequences: A171083 A171084 A171085 * A171087 A171088 A171089

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

Status

approved