Talk:Padovan polynomials

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At the moment the general recurrence given in this article is:


 * $$P_n(x)=xP_{n-2}(x)+P_{n-3}(x)$$

which gives two Padovan polynomials with degree 2, two with degree 3 etc. Why is the recurrence not


 * $$P_n(x)=x^2P_{n-2}(x)+xP_{n-3}(x)$$

so that Pn(x) always has degree n-1, and there is a only one Padovan polynomial with a given degree ? This would be a closer analogue to Fibonacci polynomials. Gandalf61 11:21, August 26, 2005 (UTC)