On Sums of Certain Products of Lucas Numbers

نویسندگان

  • Jaroslav Seibert
  • Pavel Trojovský
چکیده

New results about certain sums Sn(k) of products of the Lucas numbers are derived. These sums are related to the generating function of the k-th powers of the Fibonacci numbers. The sums for Sn(k) are expressed by the binomial and the Fibonomial coefficients. Proofs of these formulas are based on a special inverse formula.

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تاریخ انتشار 2009