Stern Polynomials as Numerators of Continued Fractions
Bulletin of the Polish Academy of Sciences. Mathematics (2014)
- Volume: 62, Issue: 1, page 23-27
- ISSN: 0239-7269
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topA. Schinzel. "Stern Polynomials as Numerators of Continued Fractions." Bulletin of the Polish Academy of Sciences. Mathematics 62.1 (2014): 23-27. <http://eudml.org/doc/286326>.
@article{A2014,
abstract = {It is proved 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. This generalizes a result of Graham, Knuth and Patashnik concerning the Stern sequence Bₙ(1). As an application, the degree of Bₙ(t) is expressed in terms of the binary expansion of n.},
author = {A. Schinzel},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {stern polynomials; continued fractions},
language = {eng},
number = {1},
pages = {23-27},
title = {Stern Polynomials as Numerators of Continued Fractions},
url = {http://eudml.org/doc/286326},
volume = {62},
year = {2014},
}
TY - JOUR
AU - A. Schinzel
TI - Stern Polynomials as Numerators of Continued Fractions
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2014
VL - 62
IS - 1
SP - 23
EP - 27
AB - It is proved 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. This generalizes a result of Graham, Knuth and Patashnik concerning the Stern sequence Bₙ(1). As an application, the degree of Bₙ(t) is expressed in terms of the binary expansion of n.
LA - eng
KW - stern polynomials; continued fractions
UR - http://eudml.org/doc/286326
ER -
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