April 2020 A dual of colored tilings terminating sums
Matko Glunčić, Ivica Martinjak, Vladimir Paar
Rocky Mountain J. Math. 50(2): 589-597 (April 2020). DOI: 10.1216/rmj.2020.50.589

Abstract

We present several enumerative identities involving third-order recursive sequences. In particular, we prove a dual of such identities. We also give a combinatorial interpretation of these sequences through weighted tilings and use it to find bijective proofs of presented relations.

Citation

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Matko Glunčić. Ivica Martinjak. Vladimir Paar. "A dual of colored tilings terminating sums." Rocky Mountain J. Math. 50 (2) 589 - 597, April 2020. https://doi.org/10.1216/rmj.2020.50.589

Information

Received: 1 December 2018; Accepted: 14 August 2019; Published: April 2020
First available in Project Euclid: 29 May 2020

zbMATH: 07210981
MathSciNet: MR4104396
Digital Object Identifier: 10.1216/rmj.2020.50.589

Subjects:
Primary: 05A19 , 11B39

Keywords: bijection , colored tiling , integer sequence , recurrence relation , Tribonacci sequences

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 2 • April 2020
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