A113138 Self-describing sequence made of strings of consecutive integers. The number of elements in each string is the sequence itself.

1, 3, 4, 5, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 3, 4, 5, 1, 2, 3, 4, 1, 3, 4, 1, 2, 3, 1, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 3, 4, 5, 1, 2, 3, 4, 1, 3, 4, 1, 2, 3, 1, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1

Offset

1,2

Comments

The less interesting sequence 1,1,1,1,1,1,1,1, ... obeys the same rule.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..1000

Rémy Sigrist, PARI program for A113138

Example

First string is "1", having 1 element. Second string is "3,4,5" having 3 elements. Third string is "1,2,3,4" which has 4 elements. Next string is "1,2,3,4,5", made of 5 elements. Next string is "1", having only 1 element, etc. So we have 1 element, then 3, then 4, then 5, then 1, etc. This is the sequence itself.

Crossrefs

Cf. A281579.

Sequence in context: A306584 A176948 A368624 * A010263 A011303 A225405

Adjacent sequences: A113135 A113136 A113137 * A113139 A113140 A113141

Keyword

easy,nonn,nice

Author

Eric Angelini, Jan 04 2006

Extensions

More terms from Rémy Sigrist, Feb 08 2017

Status

approved