Abstract
We 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.
| Original language | English |
|---|---|
| Article number | 22.3.5 |
| Journal | Journal of Integer Sequences |
| Volume | 25 |
| Issue number | 3 |
| Publication status | Published - 2022 |
Keywords
- Fibonacci number
- Lucas num-ber
- harmonic number
- identity
- interpolating polynomial
- polynomial recurrence
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