Journal of Integer Sequences, Vol. 23 (2020), Article 20.4.2

Relating Balancing Polynomials to Lucas-Balancing Polynomials via Bernoulli Numbers

Mouloud Goubi
Department of Mathematics
UMMTO University
Laboratory of Algebra and Number Theory (USTHB)
Tizi Ouzou


We derive relations for balancing and Lucas-balancing polynomials. The results provide extensions of some results proved recently by Frontczak.

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(Concerned with sequences A000032 A000045 A001109 A100615 A122045.)

Received December 12 2019; revised versions received February 27 2010; March 1 2020. Published in Journal of Integer Sequences, March 18 2020.

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