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edited Nov 27, 2018 at 8:42

Pari/GP, 4846 bytes

The generating function of the sequence is:

$$\frac{(n-1)x^n}{x^{n+1}-2x+1}-\frac{1}{x-1}$$

(n,m)->Vec(x^nn--/((x^nx-(2-1/x)*x+1/x^n)*n---1/(x-1)+O(x^m))

The generating function of the sequence is:

$$\frac{(n-1)x^n}{x^{n+1}-2x+1}-\frac{1}{x-1}$$

(n,m)->Vec(x^n/((x^n-2)*x+1)*n---1/(x-1)+O(x^m))

The generating function of the sequence is:

$$\frac{(n-1)x^n}{x^{n+1}-2x+1}-\frac{1}{x-1}$$

(n,m)->Vec(n--/(x-(2-1/x)/x^n)-1/(x-1)+O(x^m))

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created Nov 27, 2018 at 6:35

The generating function of the sequence is:

$$\frac{(n-1)x^n}{x^{n+1}-2x+1}-\frac{1}{x-1}$$

(n,m)->Vec(x^n/((x^n-2)*x+1)*n---1/(x-1)+O(x^m))