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We find all the solutions of the title Diophantine equation $$P_1^p+2P_2^p + \cdots +kP_k^p=P_n^q$$ in positive integer variables $$(k, n)$$, where $$P_i$$ is the $$i^{th}$$ term of the Pell sequence… Click to show full abstract
We find all the solutions of the title Diophantine equation $$P_1^p+2P_2^p + \cdots +kP_k^p=P_n^q$$ in positive integer variables $$(k, n)$$, where $$P_i$$ is the $$i^{th}$$ term of the Pell sequence if the exponents p, q are included in the set $$\{1,2\}$$.
Keywords:
equation;
diophantine equation;
equation sum
Journal Title: Acta Mathematica Hungarica
Year Published: 2020
Link to full text (if available)
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Journal Title: Acta Mathematica Hungarica
Year Published: 2020
Link to full text (if available)
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recommendations!