Geodesic
On continued fractions of equal length
Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 1, pp. 96-99 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The article gives a one-parameter family of rational numbers whose expansions in reduced regular continued fractions (Hirzebruch fractions) have equal lengths. 
@article{DVMG_2014_14_1_a8,
     author = {A. V. Ustinov},
     title = {On continued fractions of equal length},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {96--99},
     year = {2014},
     volume = {14},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a8/}
}
TY  - JOUR
AU  - A. V. Ustinov
TI  - On continued fractions of equal length
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2014
SP  - 96
EP  - 99
VL  - 14
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a8/
LA  - ru
ID  - DVMG_2014_14_1_a8
ER  - 
%0 Journal Article
%A A. V. Ustinov
%T On continued fractions of equal length
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2014
%P 96-99
%V 14
%N 1
%U http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a8/
%G ru
%F DVMG_2014_14_1_a8
A. V. Ustinov. On continued fractions of equal length. Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 1, pp. 96-99. http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a8/

[1] Grekhem R. L., Knut D. E., Patashnik O., Konkretnaya matematika. Osnovanie informatiki, Mir, M., 1998

[2] Math. Notes, 79:1 (2006), 146–147 | DOI | DOI | MR | Zbl

[3] Perron O., Die Lehre von den Kettenbruechen (Band 1)., B.G. Teubner Verlagsgesellschaft, Stuttgart, 1954 | MR | Zbl

[4] Zaimi G., Length of Hirzebruch continued fractions http://mathoverflow.net/