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
Hannah, John
Hughes, Barnabas
Leff, Gordon
Singmaster, David
Journals
Historia Mathematica
Revue d'Histoire des Mathématiques
Archive for History of Exact Sciences
Kwartalnik Historii Nauki i Techniki
Archives Internationales d'Histoire des Sciences
British Journal for the History of Philosophy
Publishers
Springer
F. Steiner
Brill
Olschki
Concepts
Mathematics
Sequences and series (mathematics)
Fibonacci numbers
Manuscripts
Algebra
Geometry
People
Leonardo da Pisa
Alcuin of York
Tartaglia, Niccolò
Oresme, Nicole
Gauss, Carl Friedrich
Euler, Leonhard
Places
Italy
Egypt
Spain
Carolingian Empire
Poland
Europe
Times
Medieval
Prehistory
19th century
18th century
8th century
17th century
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