On the Diophantine equation $$\sum_{j=1}^{k}jP_j^p=P_n^q$$
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DOI: 10.1007/s10474-020-01043-4
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… read more here.
Keywords: equation; diophantine equation; equation sum;