J. Integer Seq. 13(6), Article ID 10.6.1, 12 p., electronic only (2010)
Summary
Summary: The present paper studies the diophantine equation $G_{n}H_{n} + c = x_{2n}$ and related questions, where the integer binary recurrence sequences ${G}, {H}$, and ${x}$ satisfy the same recurrence relation, and $c$ is a given integer. We prove necessary and sufficient conditions for the solubility of $G_{n}H_{n} + c = x_{2n}$. Finally, a few relevant examples are provided.
