Publication:
On the spacings between C-nomial coefficients

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Authors
Luca, Florian
Marques, Diego
Stănică, Pantelimon
Subjects
sequences
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Date of Issue
2010
Date
2009-09-10
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Abstract
Let (cn)n>0 be the Lucas sequence Cn+2=aCn+1+bCn for all n>0, where C0=0 adn c1 =1. For 1 < k < m - 1 let {equation} be the corresponding C-nomial coefficient. When Cn = Fn is the Fibonacci sequence (the numbers {mk}F are called Fibonomials), or Cn = (qn - 1) (q - 1), where q > 1 is an integer ( the nubmers {mk}q are call q-binomial, or Gaussian Coefficients), we show that therer are no nontrivial solutions to the Diophantine equation...
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Description
Correction to: "On the spacings between C-nomial coefficients" J. Number Theory, 130 (2010) pp.82-100 (second bitstrean
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Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
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Citation
J. Number Theory 130:1 (2010), 82-100
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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