Hopkins B.Mahidol University2023-06-222023-06-222022-01-01Journal of Integer Sequences Vol.25 No.3 (2022)https://repository.li.mahidol.ac.th/handle/20.500.14594/87538We study families of interpolating rational polynomials that produce scaled Fibonacci or Lucas numbers on certain integer values. We use the expansions of these familiesinbinomialpolynomialsandotherformatstoestablishseveralidentitiesinvolv-ing harmonic numbers, binomial coefficients, and various recursively defined sequences.MathematicsArticleSCOPUS2-s2.0-8512789154715307638