- See also
In mathematics, Padovan polynomials are a generalization of Padovan sequence numbers. These polynomials are defined by:
The first few Padovan polynomials are:
The Padovan numbers are recovered by evaluating the polynomials Pn-3(x) at x = 1.
Evaluating Pn-3(x) at x = 2 gives the nth Fibonacci number plus (-1)n. {{OEIS|id=A008346}}
The ordinary generating function for the sequence is
See also
- Polynomial sequences
1 : Polynomials
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