Geodesic
The \(p\)-adic order of some fibonomial coefficients
Journal of integer sequences, Tome 18 (2015) no. 3
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.
Classification : 11B39
Keywords: generalized binomial coefficient, Fibonacci number, Fibonacci coefficient, order of appearance, p-adic order, divisibility 
@article{JIS_2015__18_3_a4,
     author = {Marques,  Diego and Trojovsk\'y,  Pavel},
     title = {The \(p\)-adic order of some fibonomial coefficients},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {3},
     zbl = {1310.11024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a4/}
}
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%A Trojovský,  Pavel
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Marques,  Diego; Trojovský,  Pavel. The \(p\)-adic order of some fibonomial coefficients. Journal of integer sequences, Tome 18 (2015) no. 3. http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a4/