Brian HopkinsAram TangboonduangjitMahidol UniversitySaint Peter's University2019-08-232019-08-232018-11-01Fibonacci Quarterly. Vol.56, No.4 (2018), 303-312001505172-s2.0-85058039277https://repository.li.mahidol.ac.th/handle/20.500.14594/46095© 2018 The Fibonacci Association. All rights reserved. We study a family of interpolating rational polynomials that produce Fibonacci numbers on certain integer values. By construction, the degree m polynomial gives Fibonacci numbers for m+1 arguments; we show that several additional outputs are also closely related to Fibonacci numbers. Also, we use an alternative version of the polynomials to establish several identities.Mahidol UniversityMathematicsArticleSCOPUS