A114544 A self-descriptive fractal sequence. Each element describes the length and beginning of a finite arithmetic sequence. Replace each finite sequence with its length (or its first element) and you recover the original infinite sequence.

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

Offset

2,1

Links

Table of n, a(n) for n=2..94.

Example

The first element is 2, describing the two-term arithmetic sequence 2, 3. The second and third elements, 3, describe 3, 4, 5.

Crossrefs

Cf. A114545, A114546, A114547.

Sequence in context: A110533 A131282 A305296 * A154726 A325784 A244929

Adjacent sequences: A114541 A114542 A114543 * A114545 A114546 A114547

Keyword

easy,nonn

Author

Kerry Mitchell, Dec 07 2005

Status

approved