Abstract
For the sequences satisfying the recurrence relation of the second order, the generating functions for the products of the powers of these sequences are established. This study was from Carlita and Riordan who began a study on closed form of generating functions for powers of second-order recurrence sequences. This investigation was completed by Stănică. Inspired by the recent work of Istvan about the non-closed generating functions of the products of the powers of the second-order sequences, the authors give several extensions of Istvan’s results in this paper.
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