A225334 Look-and-repeat: similar to look-and-say except frequency is repeated (seed 3).

3, 113, 221113, 222331113, 332223331113, 223332333331113, 222333112553331113, 332333221112225333331113, 223112333222331332115553331113, 222113221112333332223111223112221335333331113

Offset

1,1

Comments

Look-and-repeat sequence A225329 with seed 3.

Contains 1, 2, 3 and 5, but not 4.

All terms end with 3 (the seed) and, starting at the fourth, with 3331113, which makes the 5 appear.

All terms except the second begin with 2 or 3; it is a direct consequence of the look-and-repeat rule.

Sequence A225333, the look-and-repeat sequence with seed 2 is almost the same, differing only in the last digit of each term (2 instead of 3 here). Indeed, any one-digit seed except 1 leads to essentially the same sequence with all terms identical except the last one = the seed.

Links

Table of n, a(n) for n=1..10.

Formula

a(n) = A225333(n) + 1.

Example

The term after 113 is obtained by saying (repeating) two two 1, one one 3, which gives 221113.

Crossrefs

Cf. A225329 (seed one), A225333 (seed two), A225332 (continuous look-and-repeat, seed 2), A225330, A225331 (continuous look-and-repeat, seed 1).

Cf. A005150 (original look-and-say), A225224, A221646, A225212 (continuous look-and-say versions).

Sequence in context: A080174 A065117 A227794 * A240441 A229929 A267897

Adjacent sequences: A225331 A225332 A225333 * A225335 A225336 A225337

Keyword

nonn,easy,base

Author

Jean-Christophe Hervé, May 12 2013

Status

approved