Summing a family of generalized Pell numbers

DOI10.2478/AMSIL-2020-0024zbMath1471.11077arXiv2010.14321OpenAlexW3115662198MaRDI QIDQ2035015

Prodinger, Helmut

Publication date: 23 June 2021

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14321

zbMATH Keywords

generating functionsPell numbersBinet formula

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Uses Software

• OEIS

Cites Work

• Restricted partitions and \(q\)-Pell numbers
• On a new one parameter generalization of Pell numbers
• Sums of powers over equally spaced Fibonacci numbers
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