Article ID: CBB001211026

Alcuin's Sequence (2012)

unapi

Alcuin of York (c. 740--804) lived over four hundred years before Fibonacci. Like Fibonacci, Alcuin has a sequence of integers named after him. Although not as well known as the Fibonacci sequence, Alcuin's sequence has several interesting properties. The purposes of this note are to acquaint the reader with Alcuin's sequence, to give the simplest available proofs of various formulas for Alcuin's sequence, and to showcase a new discovery about the period of Alcuin's sequence modulo a fixed integer.

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Authors & Contributors
Fibonacci, Leonardo
Høyrup, Jens
Hughes, Barnabas
Hannah, John
Enrico Giusti
Rozza, Nicoletta
Journals
Historia Mathematica
Revue d'Histoire des Mathématiques
Bollettino di Storia delle Scienze Matematiche
Archive for History of Exact Sciences
Médiévales
British Journal for the History of Philosophy
Publishers
Springer
Olschki
Il Mulino
F. Steiner
Carocci Editore
Brepols Publishers
Concepts
Mathematics
Fibonacci numbers
Geometry
Abacus
Sequences and series (mathematics)
Translations
People
Leonardo da Pisa
Fibonacci, Leonardo
Fermat, Pierre de
Viète, Francois
Thomas Aquinas, Saint
Pythagoras
Time Periods
Medieval
12th century
8th century
Prehistory
Renaissance
16th century
Places
Italy
Pisa (Italy)
Carolingian Empire
Spain
Europe
Egypt
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