A110393 Modified Look-and-Say sequence where 2 is the largest number that may be used.

1, 11, 21, 1211, 111221, 21112211, 1221112221, 11222111221211, 212212211122111221, 121122112221112221112211, 111221222122122111221221112221, 2111221122121122112221112211222111221211

Offset

0,2

Comments

The ratio r(n) of the number of "1"s to the number of "2"s in the sequence converges to (4*phi^(3/2)+5*phi+sqrt(phi)+3) / (4*phi^(3/2)+5*phi+3*sqrt(phi)+3) = 0.890054... as n goes to infinity, where phi = (1+sqrt(5))/2 is the golden ratio. [Nathaniel Johnston, Jan 13 2011]

Links

Table of n, a(n) for n=0..11.

N. Johnston, Further Variants of the "Look-and-Say" Sequence

Crossrefs

Cf. A005150, A179999.

Sequence in context: A005150 A001388 A305660 * A202627 A257491 A169853

Adjacent sequences: A110390 A110391 A110392 * A110394 A110395 A110396

Keyword

base,easy,nice,nonn

Author

Levi Kryder (seelevrun(AT)hotmail.com), May 11 2006

Status

approved