q-Stern Polynomials as Numerators of Continued Fractions

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Abstract

We present a q-analogue for the fact that the nth Stern polynomial Bn(t) in the sense of Klav\v zar, Milutinović and Petr [Adv. Appl. Math. 39 (2007)] is the numerator of a continued fraction of n terms. Moreover, we give a combinatorial interpretation for our q-analogue.
Original languageEnglish
Pages (from-to)11-18
Number of pages8
JournalBulletin of the Polish Academy of Sciences Mathematics
Volume63
Issue number1
DOIs
StatePublished - 2015

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