Formulas for Fibonomial sums with generalized Fibonacci and Lucas coefficients
Fibonacci Quarterly, Volume 49, No. 4, Year 2011
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We consider certain Fibonomial sums with generalized Fibonacci and Lucas numbers coefficients and compute them explicitly. Some corollaries are also presented. The technique is to rewrite everything in terms of a variable q, and then to use Rothe's identity from classical q-calculus.