The Leading Coefficients of Stern Polynomials



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.


Binary expansion Stern polynomial 

MSC codes

Primary 11B83 Secondary 11A63 


  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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