Geodesic
Leaping convergents of Tasoev continued fractions
Discussiones Mathematicae. General Algebra and Applications, Tome 31 (2011) no. 2, pp. 201-216

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Denote the n-th convergent of the continued fraction by pₙ/qₙ = [a₀;a₁,...,aₙ]. We give some explicit forms of leaping convergents of Tasoev continued fractions. For instance, [0;ua,ua²,ua³,...] is one of the typical types of Tasoev continued fractions. Leaping convergents are of the form p_rn+i/q_rn+i (n=0,1,2,...) for fixed integers r ≥ 2 and 0 ≤ i ≤ r-1.
Keywords: leaping convergents, Tasoev continued fractions 
Komatsu, Takao. Leaping convergents of Tasoev continued fractions. Discussiones Mathematicae. General Algebra and Applications, Tome 31 (2011) no. 2, pp. 201-216. http://geodesic.mathdoc.fr/item/DMGAA_2011_31_2_a5/
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