
06071095
j
2012e.00572
Bindner, Donald J.
Erickson, Martin
Alcuin's sequence.
Am. Math. Mon. 119, No. 2, 115121 (2012).
2012
Mathematical Association of America (MAA), Washington, DC
EN
F65
Alcuin's sequence
doi:10.4169/amer.math.monthly.119.02.115
Summary: Alcuin of York (c. 740804) 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.