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Modified Look-and-Say sequence where 2 is the largest number that may be used.
1

%I #12 Sep 07 2022 16:05:56

%S 1,11,21,1211,111221,21112211,1221112221,11222111221211,

%T 212212211122111221,121122112221112221112211,

%U 111221222122122111221221112221,2111221122121122112221112211222111221211

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

%C 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]

%H N. Johnston, <a href="http://www.nathanieljohnston.com/2011/01/further-variants-of-the-look-and-say-sequence/">Further Variants of the "Look-and-Say" Sequence</a>

%Y Cf. A005150, A179999.

%K base,easy,nice,nonn

%O 0,2

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