Journal of Integer Sequences, Vol. 18 (2015), Article 15.3.1

The p-adic Order of Some Fibonomial Coefficients


Diego Marques
Departamento de Matemática
Universidade de Brasília
Brasília 70910-900
Brazil

Pavel Trojovský
Department of Mathematics
Faculty of Science
University of Hradec Králové
Rokitanského 62
Hradec Králové 50003
Czech Republic

Abstract:

In this paper, we consider the Fibonomial coefficients, a natural generalization of the binomial coefficients. We generalize a 2013 result of the authors and J. Sellers by proving an exact divisibility result for Fibonomial coefficients involving powers of primes and confirming a recent conjecture.

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Received June 4 2014; revised versions received November 29 2014; December 16 2014; January 16 2015. Published in Journal of Integer Sequences, January 26 2015.

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