Zenodo (CERN European Organization for Nuclear Research) · 2006 · 14 citations · 0 references
Natural SciencesMathematicsNumber TheoryArithmetic GeometryCombinatorial Number TheoryInteger Sequences
In this paper we prove several formulas for sums of squares of even Pell-Lucas numbers, sums of squares of odd Pell-Lucas numbers, and sums of products of even and odd PellLucas numbers. These sums have nice representations as products of appropriate Pell and Pell-Lucas numbers with terms from certain integer sequences.