Certain General Binomial-fibonacci Sums
نویسنده
چکیده
Numerous writers appear to have been fascinated by the many interesting summation identitites involving the Fibonacci and related Lucas numbers. Various types of formulas are discussed and various methods are used. Some involve binomial coefficients [2 ] , [4 ] . Generating function methods are used in [2] and [5] and higher powers appear in [6] . Combinations of these or other approaches appear in [1 ] , [3] and [7] . One of the most tantalizing displays of such formulas was the following group of binomial-Fibonacci identities given by Hoggatt [5 ] . He gives:
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