The Leading Coefficients of Stern Polynomials

Chapter

Abstract

The leading coefficient of the nth Stern polynomial defined by Klavžar et al. (Adv Appl Math 39:86–95, 2007) is expressed in terms of the binary expansion of n.

Keywords

Binary expansion Stern polynomial 

MSC codes

Primary 11B83 Secondary 11A63 

References

  1. 1.
    S. Klavžar, U. Milutinović, C. Petr, Stern polynomials. Adv. Appl. Math. 39, 86–95 (2007)MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    A. Schinzel, Stern polynomials as numerators of continued fractions. Bull. Pol. Acad. Sci. 62, 23–27 (2014)MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Institute of MathematicsPolish Academy of SciencesWarsawPoland

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