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Donald J. Bindner and Martin Erickson
The American Mathematical Monthly
Vol. 119, No. 2 (February 2012), pp. 115-121
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.02.115
Page Count: 7
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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.
Copyright the Mathematical Association of America 2012