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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba63-1-2,
author = {Toufik Mansour},
title = {q-Stern Polynomials as Numerators of Continued Fractions},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {63},
year = {2015},
pages = {11-18},
zbl = {06488952},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba63-1-2}
}
Toufik Mansour. q-Stern Polynomials as Numerators of Continued Fractions. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015) pp. 11-18. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba63-1-2/