You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:


Log in to your personal account or through your institution.

Alcuin’s Sequence

Donald J. Bindner and Martin Erickson
The American Mathematical Monthly
Vol. 119, No. 2 (February 2012), pp. 115-121
DOI: 10.4169/amer.math.monthly.119.02.115
Stable URL:
Page Count: 7
  • Download ($19.00)
  • Subscribe ($19.50)
  • Cite this Item
Item Type
Alcuin’s Sequence
Preview not available


Abstract 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.

Page Thumbnails