Aphid Sequences: Turning Fibonacci Numbers Inside Out

DOI10.1080/0025570X.2018.1445924zbMath1407.11029OpenAlexW2806594042MaRDI QIDQ4622972

Samuel Erickson, Josiah Reiswig, Adam M. Goyt

Publication date: 18 February 2019

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0025570x.2018.1445924

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Recurrences (11B37) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Uses Software

• OEIS

Cites Work

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• Fibonacci's \textit{Liber abaci}. A translation into modern English of Leonardo Pisano's \textit{Book of calculation}. Transl. from the Latin and with an introduction, notes and bibliography by L. E. Sigler
• A combinatorial interpretation of the generalized Fibonacci numbers
• Generalized Fibonacci Numbers and Associated Matrices
• The Dying Rabbit Problem Revisited