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MR1990766 (2004c:11035) 11D45 (11B37 11D04 11D61) Fuchs, Clemens; Pethő, Attila; Tichy, Robert F. On the Diophantine equation $G\sb n(x)=G\sb m(P(x))$$G\sb n(x)=G\sb m(P(x))$: higher-order recurrences. Trans. Amer. Math. Soc. 355 (2003), no. 11, 4657–4681.

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