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q-Stern Polynomials as Numerators of Continued Fractions

Toufik Mansour (2015)

Bulletin of the Polish Academy of Sciences. Mathematics

We present a q-analogue for the fact that the nth Stern polynomial Bₙ(t) in the sense of Klavžar, 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.

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