Geodesic
Improved bounds on the number of ternary square-free words
Journal of integer sequences, Tome 4 (2001) no. 2.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Improved upper and lower bounds on the number of square-free ternary words are obtained. The upper bound is based on the enumeration of square-free ternary words up to length 110. The lower bound is derived by constructing generalised Brinkhuis triples. The problem of finding such triples can essentially be reduced to a combinatorial problem, which can efficiently be treated by computer. In particular, it is shown that the number of square-free ternary words of length n grows at least as 65^n/40, replacing the previous best lower bound of 2^n/17. 
@article{JIS_2001__4_2_a6,
     author = {Grimm, Uwe},
     title = {Improved bounds on the number of ternary square-free words},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2001__4_2_a6/}
}
TY  - JOUR
AU  - Grimm, Uwe
TI  - Improved bounds on the number of ternary square-free words
JO  - Journal of integer sequences
PY  - 2001
VL  - 4
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2001__4_2_a6/
LA  - en
ID  - JIS_2001__4_2_a6
ER  - 
%0 Journal Article
%A Grimm, Uwe
%T Improved bounds on the number of ternary square-free words
%J Journal of integer sequences
%D 2001
%V 4
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2001__4_2_a6/
%G en
%F JIS_2001__4_2_a6
Grimm, Uwe. Improved bounds on the number of ternary square-free words. Journal of integer sequences, Tome 4 (2001) no. 2. http://geodesic.mathdoc.fr/item/JIS_2001__4_2_a6/